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Finding the Fourth Proportional to 1,066.74, 1,472.09 and 624.55

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Solution

The fourth proportional to 1,066.74, 1,472.09 and 624.55 is: 861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.74 : 1,472.09 = 624.55 : x
  2. Step 2: Convert to fraction form
    1,066.74/1,472.09 = 624.55/x
  3. Step 3: Cross multiply
    1,066.74x = 1,472.09 × 624.55
  4. Step 4: Simplify right side
    1,066.74x = 919,393.81
  5. Step 5: Solve for x
    x = 919,393.81/1,066.74
  6. Step 6: Final answer
    x = 861.87

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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.