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Finding the Fourth Proportional to 709.54, 980.10 and 488.11

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Solution

The fourth proportional to 709.54, 980.10 and 488.11 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.54 : 980.10 = 488.11 : x
  2. Step 2: Convert to fraction form
    709.54/980.10 = 488.11/x
  3. Step 3: Cross multiply
    709.54x = 980.10 × 488.11
  4. Step 4: Simplify right side
    709.54x = 478,396.61
  5. Step 5: Solve for x
    x = 478,396.61/709.54
  6. Step 6: Final answer
    x = 674.23

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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.