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Finding the Fourth Proportional to 981.06, 1,474.02 and 922.74

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Solution

The fourth proportional to 981.06, 1,474.02 and 922.74 is: 1,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.06 : 1,474.02 = 922.74 : x
  2. Step 2: Convert to fraction form
    981.06/1,474.02 = 922.74/x
  3. Step 3: Cross multiply
    981.06x = 1,474.02 × 922.74
  4. Step 4: Simplify right side
    981.06x = 1,360,137.21
  5. Step 5: Solve for x
    x = 1,360,137.21/981.06
  6. Step 6: Final answer
    x = 1,386.40

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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.