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Finding the Fourth Proportional to 1,020.70, 1,531.20 and 472.58

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Solution

The fourth proportional to 1,020.70, 1,531.20 and 472.58 is: 708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.70 : 1,531.20 = 472.58 : x
  2. Step 2: Convert to fraction form
    1,020.70/1,531.20 = 472.58/x
  3. Step 3: Cross multiply
    1,020.70x = 1,531.20 × 472.58
  4. Step 4: Simplify right side
    1,020.70x = 723,622.97
  5. Step 5: Solve for x
    x = 723,622.97/1,020.70
  6. Step 6: Final answer
    x = 708.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.