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Finding the Fourth Proportional to 697.32, 962.40 and 402.53

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Solution

The fourth proportional to 697.32, 962.40 and 402.53 is: 555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.32 : 962.40 = 402.53 : x
  2. Step 2: Convert to fraction form
    697.32/962.40 = 402.53/x
  3. Step 3: Cross multiply
    697.32x = 962.40 × 402.53
  4. Step 4: Simplify right side
    697.32x = 387,390.06
  5. Step 5: Solve for x
    x = 387,390.06/697.32
  6. Step 6: Final answer
    x = 555.54

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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.