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Finding the Fourth Proportional to 706.11, 974.25 and 470.40

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Solution

The fourth proportional to 706.11, 974.25 and 470.40 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.11 : 974.25 = 470.40 : x
  2. Step 2: Convert to fraction form
    706.11/974.25 = 470.40/x
  3. Step 3: Cross multiply
    706.11x = 974.25 × 470.40
  4. Step 4: Simplify right side
    706.11x = 458,287.20
  5. Step 5: Solve for x
    x = 458,287.20/706.11
  6. Step 6: Final answer
    x = 649.03

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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.