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Finding the Fourth Proportional to 531.57, 795.45 and 385.47

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Solution

The fourth proportional to 531.57, 795.45 and 385.47 is: 576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.57 : 795.45 = 385.47 : x
  2. Step 2: Convert to fraction form
    531.57/795.45 = 385.47/x
  3. Step 3: Cross multiply
    531.57x = 795.45 × 385.47
  4. Step 4: Simplify right side
    531.57x = 306,622.11
  5. Step 5: Solve for x
    x = 306,622.11/531.57
  6. Step 6: Final answer
    x = 576.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.