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Finding the Fourth Proportional to 530.53, 731.76 and 333.83

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Solution

The fourth proportional to 530.53, 731.76 and 333.83 is: 460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.53 : 731.76 = 333.83 : x
  2. Step 2: Convert to fraction form
    530.53/731.76 = 333.83/x
  3. Step 3: Cross multiply
    530.53x = 731.76 × 333.83
  4. Step 4: Simplify right side
    530.53x = 244,283.44
  5. Step 5: Solve for x
    x = 244,283.44/530.53
  6. Step 6: Final answer
    x = 460.45

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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.