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Finding the Fourth Proportional to 531.79, 793.00 and 494.81

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Solution

The fourth proportional to 531.79, 793.00 and 494.81 is: 737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.79 : 793.00 = 494.81 : x
  2. Step 2: Convert to fraction form
    531.79/793.00 = 494.81/x
  3. Step 3: Cross multiply
    531.79x = 793.00 × 494.81
  4. Step 4: Simplify right side
    531.79x = 392,381.52
  5. Step 5: Solve for x
    x = 392,381.52/531.79
  6. Step 6: Final answer
    x = 737.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.