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Finding the Fourth Proportional to 981.52, 1,357.32 and 894.40

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Solution

The fourth proportional to 981.52, 1,357.32 and 894.40 is: 1,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.52 : 1,357.32 = 894.40 : x
  2. Step 2: Convert to fraction form
    981.52/1,357.32 = 894.40/x
  3. Step 3: Cross multiply
    981.52x = 1,357.32 × 894.40
  4. Step 4: Simplify right side
    981.52x = 1,213,987.01
  5. Step 5: Solve for x
    x = 1,213,987.01/981.52
  6. Step 6: Final answer
    x = 1,236.84

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Why These Related Problems?

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