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Finding the Fourth Proportional to 1,146.58, 1,582.29 and 622.62

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Solution

The fourth proportional to 1,146.58, 1,582.29 and 622.62 is: 859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.58 : 1,582.29 = 622.62 : x
  2. Step 2: Convert to fraction form
    1,146.58/1,582.29 = 622.62/x
  3. Step 3: Cross multiply
    1,146.58x = 1,582.29 × 622.62
  4. Step 4: Simplify right side
    1,146.58x = 985,154.38
  5. Step 5: Solve for x
    x = 985,154.38/1,146.58
  6. Step 6: Final answer
    x = 859.21

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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.