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Finding the Fourth Proportional to 440.61, 656.61 and 414.65

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Solution

The fourth proportional to 440.61, 656.61 and 414.65 is: 617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.61 : 656.61 = 414.65 : x
  2. Step 2: Convert to fraction form
    440.61/656.61 = 414.65/x
  3. Step 3: Cross multiply
    440.61x = 656.61 × 414.65
  4. Step 4: Simplify right side
    440.61x = 272,263.34
  5. Step 5: Solve for x
    x = 272,263.34/440.61
  6. Step 6: Final answer
    x = 617.92

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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.