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Finding the Fourth Proportional to 697.43, 962.41 and 402.69

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Solution

The fourth proportional to 697.43, 962.41 and 402.69 is: 555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.43 : 962.41 = 402.69 : x
  2. Step 2: Convert to fraction form
    697.43/962.41 = 402.69/x
  3. Step 3: Cross multiply
    697.43x = 962.41 × 402.69
  4. Step 4: Simplify right side
    697.43x = 387,554.44
  5. Step 5: Solve for x
    x = 387,554.44/697.43
  6. Step 6: Final answer
    x = 555.69

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Double scale
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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.