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Finding the Fourth Proportional to 711.50, 981 and 459

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Solution

The fourth proportional to 711.50, 981 and 459 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.50 : 981 = 459 : x
  2. Step 2: Convert to fraction form
    711.50/981 = 459/x
  3. Step 3: Cross multiply
    711.50x = 981 × 459
  4. Step 4: Simplify right side
    711.50x = 450,279
  5. Step 5: Solve for x
    x = 450,279/711.50
  6. Step 6: Final answer
    x = 632.86

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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.