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Finding the Fourth Proportional to 531.95, 796.76 and 257.46

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Solution

The fourth proportional to 531.95, 796.76 and 257.46 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.95 : 796.76 = 257.46 : x
  2. Step 2: Convert to fraction form
    531.95/796.76 = 257.46/x
  3. Step 3: Cross multiply
    531.95x = 796.76 × 257.46
  4. Step 4: Simplify right side
    531.95x = 205,134.47
  5. Step 5: Solve for x
    x = 205,134.47/531.95
  6. Step 6: Final answer
    x = 385.63

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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.