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Finding the Fourth Proportional to 713.90, 1,070.85 and 697.90

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Solution

The fourth proportional to 713.90, 1,070.85 and 697.90 is: 1,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.90 : 1,070.85 = 697.90 : x
  2. Step 2: Convert to fraction form
    713.90/1,070.85 = 697.90/x
  3. Step 3: Cross multiply
    713.90x = 1,070.85 × 697.90
  4. Step 4: Simplify right side
    713.90x = 747,346.22
  5. Step 5: Solve for x
    x = 747,346.22/713.90
  6. Step 6: Final answer
    x = 1,046.85

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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.