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Finding the Fourth Proportional to 711.30, 980.46 and 478.02

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Solution

The fourth proportional to 711.30, 980.46 and 478.02 is: 658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.30 : 980.46 = 478.02 : x
  2. Step 2: Convert to fraction form
    711.30/980.46 = 478.02/x
  3. Step 3: Cross multiply
    711.30x = 980.46 × 478.02
  4. Step 4: Simplify right side
    711.30x = 468,679.49
  5. Step 5: Solve for x
    x = 468,679.49/711.30
  6. Step 6: Final answer
    x = 658.91

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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.