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Finding the Fourth Proportional to 711.05, 981.49 and 431.28

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Solution

The fourth proportional to 711.05, 981.49 and 431.28 is: 595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.05 : 981.49 = 431.28 : x
  2. Step 2: Convert to fraction form
    711.05/981.49 = 431.28/x
  3. Step 3: Cross multiply
    711.05x = 981.49 × 431.28
  4. Step 4: Simplify right side
    711.05x = 423,297.01
  5. Step 5: Solve for x
    x = 423,297.01/711.05
  6. Step 6: Final answer
    x = 595.31

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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.