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Finding the Fourth Proportional to 697.48, 962.65 and 461.43

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Solution

The fourth proportional to 697.48, 962.65 and 461.43 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 962.65 = 461.43 : x
  2. Step 2: Convert to fraction form
    697.48/962.65 = 461.43/x
  3. Step 3: Cross multiply
    697.48x = 962.65 × 461.43
  4. Step 4: Simplify right side
    697.48x = 444,196.17
  5. Step 5: Solve for x
    x = 444,196.17/697.48
  6. Step 6: Final answer
    x = 636.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.