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Finding the Fourth Proportional to 706.13, 974.79 and 470.47

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Solution

The fourth proportional to 706.13, 974.79 and 470.47 is: 649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 974.79 = 470.47 : x
  2. Step 2: Convert to fraction form
    706.13/974.79 = 470.47/x
  3. Step 3: Cross multiply
    706.13x = 974.79 × 470.47
  4. Step 4: Simplify right side
    706.13x = 458,605.44
  5. Step 5: Solve for x
    x = 458,605.44/706.13
  6. Step 6: Final answer
    x = 649.47

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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.