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Finding the Fourth Proportional to 410.74, 616.47 and 346.66

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Solution

The fourth proportional to 410.74, 616.47 and 346.66 is: 520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.74 : 616.47 = 346.66 : x
  2. Step 2: Convert to fraction form
    410.74/616.47 = 346.66/x
  3. Step 3: Cross multiply
    410.74x = 616.47 × 346.66
  4. Step 4: Simplify right side
    410.74x = 213,705.49
  5. Step 5: Solve for x
    x = 213,705.49/410.74
  6. Step 6: Final answer
    x = 520.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.