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Finding the Fourth Proportional to 1,146.76, 1,582.53 and 622.79

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Solution

The fourth proportional to 1,146.76, 1,582.53 and 622.79 is: 859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.76 : 1,582.53 = 622.79 : x
  2. Step 2: Convert to fraction form
    1,146.76/1,582.53 = 622.79/x
  3. Step 3: Cross multiply
    1,146.76x = 1,582.53 × 622.79
  4. Step 4: Simplify right side
    1,146.76x = 985,583.86
  5. Step 5: Solve for x
    x = 985,583.86/1,146.76
  6. Step 6: Final answer
    x = 859.45

Related Problems

Find fourth proportional to 573.38, 791.27 and 311.40
Half scale
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Double scale
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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.