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Finding the Fourth Proportional to 531.13, 732.61 and 383.98

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Solution

The fourth proportional to 531.13, 732.61 and 383.98 is: 529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.13 : 732.61 = 383.98 : x
  2. Step 2: Convert to fraction form
    531.13/732.61 = 383.98/x
  3. Step 3: Cross multiply
    531.13x = 732.61 × 383.98
  4. Step 4: Simplify right side
    531.13x = 281,307.59
  5. Step 5: Solve for x
    x = 281,307.59/531.13
  6. Step 6: Final answer
    x = 529.64

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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.