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Finding the Fourth Proportional to 708.97, 978.72 and 473.05

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Solution

The fourth proportional to 708.97, 978.72 and 473.05 is: 653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.97 : 978.72 = 473.05 : x
  2. Step 2: Convert to fraction form
    708.97/978.72 = 473.05/x
  3. Step 3: Cross multiply
    708.97x = 978.72 × 473.05
  4. Step 4: Simplify right side
    708.97x = 462,981.13
  5. Step 5: Solve for x
    x = 462,981.13/708.97
  6. Step 6: Final answer
    x = 653.04

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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.