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Finding the Fourth Proportional to 531.75, 793.89 and 454.74

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Solution

The fourth proportional to 531.75, 793.89 and 454.74 is: 678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.75 : 793.89 = 454.74 : x
  2. Step 2: Convert to fraction form
    531.75/793.89 = 454.74/x
  3. Step 3: Cross multiply
    531.75x = 793.89 × 454.74
  4. Step 4: Simplify right side
    531.75x = 361,013.54
  5. Step 5: Solve for x
    x = 361,013.54/531.75
  6. Step 6: Final answer
    x = 678.92

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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.