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Finding the Fourth Proportional to 1,038.12, 1,549.16 and 927.25

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Solution

The fourth proportional to 1,038.12, 1,549.16 and 927.25 is: 1,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.12 : 1,549.16 = 927.25 : x
  2. Step 2: Convert to fraction form
    1,038.12/1,549.16 = 927.25/x
  3. Step 3: Cross multiply
    1,038.12x = 1,549.16 × 927.25
  4. Step 4: Simplify right side
    1,038.12x = 1,436,458.61
  5. Step 5: Solve for x
    x = 1,436,458.61/1,038.12
  6. Step 6: Final answer
    x = 1,383.71

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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.