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Finding the Fourth Proportional to 697.53, 962.57 and 402.78

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Solution

The fourth proportional to 697.53, 962.57 and 402.78 is: 555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 962.57 = 402.78 : x
  2. Step 2: Convert to fraction form
    697.53/962.57 = 402.78/x
  3. Step 3: Cross multiply
    697.53x = 962.57 × 402.78
  4. Step 4: Simplify right side
    697.53x = 387,701.93
  5. Step 5: Solve for x
    x = 387,701.93/697.53
  6. Step 6: Final answer
    x = 555.82

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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.