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Finding the Fourth Proportional to 697.12, 1,039.95 and 645.52

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Solution

The fourth proportional to 697.12, 1,039.95 and 645.52 is: 962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.12 : 1,039.95 = 645.52 : x
  2. Step 2: Convert to fraction form
    697.12/1,039.95 = 645.52/x
  3. Step 3: Cross multiply
    697.12x = 1,039.95 × 645.52
  4. Step 4: Simplify right side
    697.12x = 671,308.52
  5. Step 5: Solve for x
    x = 671,308.52/697.12
  6. Step 6: Final answer
    x = 962.97

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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.