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Finding the Fourth Proportional to 708.84, 978.42 and 475.97

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Solution

The fourth proportional to 708.84, 978.42 and 475.97 is: 656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.84 : 978.42 = 475.97 : x
  2. Step 2: Convert to fraction form
    708.84/978.42 = 475.97/x
  3. Step 3: Cross multiply
    708.84x = 978.42 × 475.97
  4. Step 4: Simplify right side
    708.84x = 465,693.68
  5. Step 5: Solve for x
    x = 465,693.68/708.84
  6. Step 6: Final answer
    x = 656.98

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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.