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Finding the Fourth Proportional to 711.47, 981.81 and 416.78

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Solution

The fourth proportional to 711.47, 981.81 and 416.78 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.47 : 981.81 = 416.78 : x
  2. Step 2: Convert to fraction form
    711.47/981.81 = 416.78/x
  3. Step 3: Cross multiply
    711.47x = 981.81 × 416.78
  4. Step 4: Simplify right side
    711.47x = 409,198.77
  5. Step 5: Solve for x
    x = 409,198.77/711.47
  6. Step 6: Final answer
    x = 575.15

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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.