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Finding the Fourth Proportional to 629.52, 866.88 and 530.88

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Solution

The fourth proportional to 629.52, 866.88 and 530.88 is: 731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 866.88 = 530.88 : x
  2. Step 2: Convert to fraction form
    629.52/866.88 = 530.88/x
  3. Step 3: Cross multiply
    629.52x = 866.88 × 530.88
  4. Step 4: Simplify right side
    629.52x = 460,209.25
  5. Step 5: Solve for x
    x = 460,209.25/629.52
  6. Step 6: Final answer
    x = 731.05

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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.