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Finding the Fourth Proportional to 697.22, 962.88 and 531.89

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Solution

The fourth proportional to 697.22, 962.88 and 531.89 is: 734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.22 : 962.88 = 531.89 : x
  2. Step 2: Convert to fraction form
    697.22/962.88 = 531.89/x
  3. Step 3: Cross multiply
    697.22x = 962.88 × 531.89
  4. Step 4: Simplify right side
    697.22x = 512,146.24
  5. Step 5: Solve for x
    x = 512,146.24/697.22
  6. Step 6: Final answer
    x = 734.55

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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.