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Finding the Fourth Proportional to 711.46, 981.89 and 431.76

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Solution

The fourth proportional to 711.46, 981.89 and 431.76 is: 595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.46 : 981.89 = 431.76 : x
  2. Step 2: Convert to fraction form
    711.46/981.89 = 431.76/x
  3. Step 3: Cross multiply
    711.46x = 981.89 × 431.76
  4. Step 4: Simplify right side
    711.46x = 423,938.45
  5. Step 5: Solve for x
    x = 423,938.45/711.46
  6. Step 6: Final answer
    x = 595.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.