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Finding the Fourth Proportional to 981.76, 1,471.64 and 434.38

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Solution

The fourth proportional to 981.76, 1,471.64 and 434.38 is: 651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.76 : 1,471.64 = 434.38 : x
  2. Step 2: Convert to fraction form
    981.76/1,471.64 = 434.38/x
  3. Step 3: Cross multiply
    981.76x = 1,471.64 × 434.38
  4. Step 4: Simplify right side
    981.76x = 639,250.98
  5. Step 5: Solve for x
    x = 639,250.98/981.76
  6. Step 6: Final answer
    x = 651.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.