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Finding the Fourth Proportional to 711.05, 981.25 and 400.55

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Solution

The fourth proportional to 711.05, 981.25 and 400.55 is: 552.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.05 : 981.25 = 400.55 : x
  2. Step 2: Convert to fraction form
    711.05/981.25 = 400.55/x
  3. Step 3: Cross multiply
    711.05x = 981.25 × 400.55
  4. Step 4: Simplify right side
    711.05x = 393,041.14
  5. Step 5: Solve for x
    x = 393,041.14/711.05
  6. Step 6: Final answer
    x = 552.76

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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.