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Finding the Fourth Proportional to 470.57, 649.69 and 360.61

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Solution

The fourth proportional to 470.57, 649.69 and 360.61 is: 497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 649.69 = 360.61 : x
  2. Step 2: Convert to fraction form
    470.57/649.69 = 360.61/x
  3. Step 3: Cross multiply
    470.57x = 649.69 × 360.61
  4. Step 4: Simplify right side
    470.57x = 234,282.19
  5. Step 5: Solve for x
    x = 234,282.19/470.57
  6. Step 6: Final answer
    x = 497.87

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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.