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Finding the Fourth Proportional to 711.14, 981.15 and 478.40

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Solution

The fourth proportional to 711.14, 981.15 and 478.40 is: 660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.14 : 981.15 = 478.40 : x
  2. Step 2: Convert to fraction form
    711.14/981.15 = 478.40/x
  3. Step 3: Cross multiply
    711.14x = 981.15 × 478.40
  4. Step 4: Simplify right side
    711.14x = 469,382.16
  5. Step 5: Solve for x
    x = 469,382.16/711.14
  6. Step 6: Final answer
    x = 660.04

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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.