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Finding the Fourth Proportional to 410.60, 611.65 and 408.62

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Solution

The fourth proportional to 410.60, 611.65 and 408.62 is: 608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.60 : 611.65 = 408.62 : x
  2. Step 2: Convert to fraction form
    410.60/611.65 = 408.62/x
  3. Step 3: Cross multiply
    410.60x = 611.65 × 408.62
  4. Step 4: Simplify right side
    410.60x = 249,932.42
  5. Step 5: Solve for x
    x = 249,932.42/410.60
  6. Step 6: Final answer
    x = 608.70

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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.