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Finding the Fourth Proportional to 697.65, 962.25 and 431.75

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Solution

The fourth proportional to 697.65, 962.25 and 431.75 is: 595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.65 : 962.25 = 431.75 : x
  2. Step 2: Convert to fraction form
    697.65/962.25 = 431.75/x
  3. Step 3: Cross multiply
    697.65x = 962.25 × 431.75
  4. Step 4: Simplify right side
    697.65x = 415,446.63
  5. Step 5: Solve for x
    x = 415,446.63/697.65
  6. Step 6: Final answer
    x = 595.49

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Double scale
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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.