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Finding the Fourth Proportional to 677.68, 934.92 and 470.80

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Solution

The fourth proportional to 677.68, 934.92 and 470.80 is: 649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.68 : 934.92 = 470.80 : x
  2. Step 2: Convert to fraction form
    677.68/934.92 = 470.80/x
  3. Step 3: Cross multiply
    677.68x = 934.92 × 470.80
  4. Step 4: Simplify right side
    677.68x = 440,160.34
  5. Step 5: Solve for x
    x = 440,160.34/677.68
  6. Step 6: Final answer
    x = 649.51

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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.