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Finding the Fourth Proportional to 711.50, 981.90 and 416.78

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Solution

The fourth proportional to 711.50, 981.90 and 416.78 is: 575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.50 : 981.90 = 416.78 : x
  2. Step 2: Convert to fraction form
    711.50/981.90 = 416.78/x
  3. Step 3: Cross multiply
    711.50x = 981.90 × 416.78
  4. Step 4: Simplify right side
    711.50x = 409,236.28
  5. Step 5: Solve for x
    x = 409,236.28/711.50
  6. Step 6: Final answer
    x = 575.17

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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.