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Finding the Fourth Proportional to 710.84, 1,060.16 and 697.88

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Solution

The fourth proportional to 710.84, 1,060.16 and 697.88 is: 1,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.84 : 1,060.16 = 697.88 : x
  2. Step 2: Convert to fraction form
    710.84/1,060.16 = 697.88/x
  3. Step 3: Cross multiply
    710.84x = 1,060.16 × 697.88
  4. Step 4: Simplify right side
    710.84x = 739,863.62
  5. Step 5: Solve for x
    x = 739,863.62/710.84
  6. Step 6: Final answer
    x = 1,040.83

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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.