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Finding the Fourth Proportional to 718.80, 992.12 and 470.72

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Solution

The fourth proportional to 718.80, 992.12 and 470.72 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.80 : 992.12 = 470.72 : x
  2. Step 2: Convert to fraction form
    718.80/992.12 = 470.72/x
  3. Step 3: Cross multiply
    718.80x = 992.12 × 470.72
  4. Step 4: Simplify right side
    718.80x = 467,010.73
  5. Step 5: Solve for x
    x = 467,010.73/718.80
  6. Step 6: Final answer
    x = 649.71

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1.5x scale

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.