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Finding the Fourth Proportional to 983.72, 1,354.70 and 921.15

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Solution

The fourth proportional to 983.72, 1,354.70 and 921.15 is: 1,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.72 : 1,354.70 = 921.15 : x
  2. Step 2: Convert to fraction form
    983.72/1,354.70 = 921.15/x
  3. Step 3: Cross multiply
    983.72x = 1,354.70 × 921.15
  4. Step 4: Simplify right side
    983.72x = 1,247,877.30
  5. Step 5: Solve for x
    x = 1,247,877.30/983.72
  6. Step 6: Final answer
    x = 1,268.54

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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.