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Finding the Fourth Proportional to 711.44, 981.80 and 416.92

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Solution

The fourth proportional to 711.44, 981.80 and 416.92 is: 575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.44 : 981.80 = 416.92 : x
  2. Step 2: Convert to fraction form
    711.44/981.80 = 416.92/x
  3. Step 3: Cross multiply
    711.44x = 981.80 × 416.92
  4. Step 4: Simplify right side
    711.44x = 409,332.06
  5. Step 5: Solve for x
    x = 409,332.06/711.44
  6. Step 6: Final answer
    x = 575.36

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1.5x scale

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.