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Finding the Fourth Proportional to 713.68, 1,070.52 and 471.73

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Solution

The fourth proportional to 713.68, 1,070.52 and 471.73 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 1,070.52 = 471.73 : x
  2. Step 2: Convert to fraction form
    713.68/1,070.52 = 471.73/x
  3. Step 3: Cross multiply
    713.68x = 1,070.52 × 471.73
  4. Step 4: Simplify right side
    713.68x = 504,996.40
  5. Step 5: Solve for x
    x = 504,996.40/713.68
  6. Step 6: Final answer
    x = 707.60

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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.