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Finding the Fourth Proportional to 981.08, 1,461.14 and 969.74

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Solution

The fourth proportional to 981.08, 1,461.14 and 969.74 is: 1,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.08 : 1,461.14 = 969.74 : x
  2. Step 2: Convert to fraction form
    981.08/1,461.14 = 969.74/x
  3. Step 3: Cross multiply
    981.08x = 1,461.14 × 969.74
  4. Step 4: Simplify right side
    981.08x = 1,416,917.39
  5. Step 5: Solve for x
    x = 1,416,917.39/981.08
  6. Step 6: Final answer
    x = 1,444.25

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1.5x scale

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.