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Finding the Fourth Proportional to 531.69, 795.78 and 493.80

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Solution

The fourth proportional to 531.69, 795.78 and 493.80 is: 739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.69 : 795.78 = 493.80 : x
  2. Step 2: Convert to fraction form
    531.69/795.78 = 493.80/x
  3. Step 3: Cross multiply
    531.69x = 795.78 × 493.80
  4. Step 4: Simplify right side
    531.69x = 392,956.16
  5. Step 5: Solve for x
    x = 392,956.16/531.69
  6. Step 6: Final answer
    x = 739.07

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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.