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Finding the Fourth Proportional to 410.65, 611.50 and 406.10

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Solution

The fourth proportional to 410.65, 611.50 and 406.10 is: 604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.65 : 611.50 = 406.10 : x
  2. Step 2: Convert to fraction form
    410.65/611.50 = 406.10/x
  3. Step 3: Cross multiply
    410.65x = 611.50 × 406.10
  4. Step 4: Simplify right side
    410.65x = 248,331.42
  5. Step 5: Solve for x
    x = 248,331.42/410.65
  6. Step 6: Final answer
    x = 604.73

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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.