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Finding the Fourth Proportional to 421.65, 580.17 and 410.91

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Solution

The fourth proportional to 421.65, 580.17 and 410.91 is: 565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.65 : 580.17 = 410.91 : x
  2. Step 2: Convert to fraction form
    421.65/580.17 = 410.91/x
  3. Step 3: Cross multiply
    421.65x = 580.17 × 410.91
  4. Step 4: Simplify right side
    421.65x = 238,397.65
  5. Step 5: Solve for x
    x = 238,397.65/421.65
  6. Step 6: Final answer
    x = 565.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.