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Finding the Fourth Proportional to 540.17, 807.47 and 401.66

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Solution

The fourth proportional to 540.17, 807.47 and 401.66 is: 600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.17 : 807.47 = 401.66 : x
  2. Step 2: Convert to fraction form
    540.17/807.47 = 401.66/x
  3. Step 3: Cross multiply
    540.17x = 807.47 × 401.66
  4. Step 4: Simplify right side
    540.17x = 324,326.89
  5. Step 5: Solve for x
    x = 324,326.89/540.17
  6. Step 6: Final answer
    x = 600.42

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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.