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Finding the Fourth Proportional to 711.64, 981.84 and 416.92

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Solution

The fourth proportional to 711.64, 981.84 and 416.92 is: 575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.64 : 981.84 = 416.92 : x
  2. Step 2: Convert to fraction form
    711.64/981.84 = 416.92/x
  3. Step 3: Cross multiply
    711.64x = 981.84 × 416.92
  4. Step 4: Simplify right side
    711.64x = 409,348.73
  5. Step 5: Solve for x
    x = 409,348.73/711.64
  6. Step 6: Final answer
    x = 575.22

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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.