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Finding the Fourth Proportional to 531.76, 797.05 and 257.47

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Solution

The fourth proportional to 531.76, 797.05 and 257.47 is: 385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.76 : 797.05 = 257.47 : x
  2. Step 2: Convert to fraction form
    531.76/797.05 = 257.47/x
  3. Step 3: Cross multiply
    531.76x = 797.05 × 257.47
  4. Step 4: Simplify right side
    531.76x = 205,216.46
  5. Step 5: Solve for x
    x = 205,216.46/531.76
  6. Step 6: Final answer
    x = 385.92

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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.