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Finding the Fourth Proportional to 981.76, 1,463.75 and 956.50

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Solution

The fourth proportional to 981.76, 1,463.75 and 956.50 is: 1,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.76 : 1,463.75 = 956.50 : x
  2. Step 2: Convert to fraction form
    981.76/1,463.75 = 956.50/x
  3. Step 3: Cross multiply
    981.76x = 1,463.75 × 956.50
  4. Step 4: Simplify right side
    981.76x = 1,400,076.88
  5. Step 5: Solve for x
    x = 1,400,076.88/981.76
  6. Step 6: Final answer
    x = 1,426.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.