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Finding the Fourth Proportional to 713.92, 1,062.92 and 705.28

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Solution

The fourth proportional to 713.92, 1,062.92 and 705.28 is: 1,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.92 : 1,062.92 = 705.28 : x
  2. Step 2: Convert to fraction form
    713.92/1,062.92 = 705.28/x
  3. Step 3: Cross multiply
    713.92x = 1,062.92 × 705.28
  4. Step 4: Simplify right side
    713.92x = 749,656.22
  5. Step 5: Solve for x
    x = 749,656.22/713.92
  6. Step 6: Final answer
    x = 1,050.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.