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Finding the Fourth Proportional to 410.47, 564.36 and 365.79

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Solution

The fourth proportional to 410.47, 564.36 and 365.79 is: 502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.47 : 564.36 = 365.79 : x
  2. Step 2: Convert to fraction form
    410.47/564.36 = 365.79/x
  3. Step 3: Cross multiply
    410.47x = 564.36 × 365.79
  4. Step 4: Simplify right side
    410.47x = 206,437.43
  5. Step 5: Solve for x
    x = 206,437.43/410.47
  6. Step 6: Final answer
    x = 502.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.