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Finding the Fourth Proportional to 713.92, 1,070.40 and 457.28

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Solution

The fourth proportional to 713.92, 1,070.40 and 457.28 is: 685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.92 : 1,070.40 = 457.28 : x
  2. Step 2: Convert to fraction form
    713.92/1,070.40 = 457.28/x
  3. Step 3: Cross multiply
    713.92x = 1,070.40 × 457.28
  4. Step 4: Simplify right side
    713.92x = 489,472.51
  5. Step 5: Solve for x
    x = 489,472.51/713.92
  6. Step 6: Final answer
    x = 685.61

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Why These Related Problems?

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