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Finding the Fourth Proportional to 710.73, 1,061.60 and 697.75

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Solution

The fourth proportional to 710.73, 1,061.60 and 697.75 is: 1,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.73 : 1,061.60 = 697.75 : x
  2. Step 2: Convert to fraction form
    710.73/1,061.60 = 697.75/x
  3. Step 3: Cross multiply
    710.73x = 1,061.60 × 697.75
  4. Step 4: Simplify right side
    710.73x = 740,731.40
  5. Step 5: Solve for x
    x = 740,731.40/710.73
  6. Step 6: Final answer
    x = 1,042.21

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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.