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Finding the Fourth Proportional to 576.01, 793.96 and 457.75

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Solution

The fourth proportional to 576.01, 793.96 and 457.75 is: 630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.01 : 793.96 = 457.75 : x
  2. Step 2: Convert to fraction form
    576.01/793.96 = 457.75/x
  3. Step 3: Cross multiply
    576.01x = 793.96 × 457.75
  4. Step 4: Simplify right side
    576.01x = 363,435.19
  5. Step 5: Solve for x
    x = 363,435.19/576.01
  6. Step 6: Final answer
    x = 630.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.