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Finding the Fourth Proportional to 531.55, 793.47 and 491.46

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Solution

The fourth proportional to 531.55, 793.47 and 491.46 is: 733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.55 : 793.47 = 491.46 : x
  2. Step 2: Convert to fraction form
    531.55/793.47 = 491.46/x
  3. Step 3: Cross multiply
    531.55x = 793.47 × 491.46
  4. Step 4: Simplify right side
    531.55x = 389,958.77
  5. Step 5: Solve for x
    x = 389,958.77/531.55
  6. Step 6: Final answer
    x = 733.63

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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.