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Finding the Fourth Proportional to 706.12, 974.82 and 473.38

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Solution

The fourth proportional to 706.12, 974.82 and 473.38 is: 653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.12 : 974.82 = 473.38 : x
  2. Step 2: Convert to fraction form
    706.12/974.82 = 473.38/x
  3. Step 3: Cross multiply
    706.12x = 974.82 × 473.38
  4. Step 4: Simplify right side
    706.12x = 461,460.29
  5. Step 5: Solve for x
    x = 461,460.29/706.12
  6. Step 6: Final answer
    x = 653.52

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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.