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Finding the Fourth Proportional to 1,146.69, 1,582.44 and 622.73

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Solution

The fourth proportional to 1,146.69, 1,582.44 and 622.73 is: 859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.69 : 1,582.44 = 622.73 : x
  2. Step 2: Convert to fraction form
    1,146.69/1,582.44 = 622.73/x
  3. Step 3: Cross multiply
    1,146.69x = 1,582.44 × 622.73
  4. Step 4: Simplify right side
    1,146.69x = 985,432.86
  5. Step 5: Solve for x
    x = 985,432.86/1,146.69
  6. Step 6: Final answer
    x = 859.37

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.