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Finding the Fourth Proportional to 540.03, 742.86 and 476.69

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Solution

The fourth proportional to 540.03, 742.86 and 476.69 is: 655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.03 : 742.86 = 476.69 : x
  2. Step 2: Convert to fraction form
    540.03/742.86 = 476.69/x
  3. Step 3: Cross multiply
    540.03x = 742.86 × 476.69
  4. Step 4: Simplify right side
    540.03x = 354,115.79
  5. Step 5: Solve for x
    x = 354,115.79/540.03
  6. Step 6: Final answer
    x = 655.73

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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.