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Finding the Fourth Proportional to 697.47, 962.31 and 431.78

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Solution

The fourth proportional to 697.47, 962.31 and 431.78 is: 595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.47 : 962.31 = 431.78 : x
  2. Step 2: Convert to fraction form
    697.47/962.31 = 431.78/x
  3. Step 3: Cross multiply
    697.47x = 962.31 × 431.78
  4. Step 4: Simplify right side
    697.47x = 415,506.21
  5. Step 5: Solve for x
    x = 415,506.21/697.47
  6. Step 6: Final answer
    x = 595.73

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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.