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Finding the Fourth Proportional to 1,009.28, 1,514.04 and 948.53

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Solution

The fourth proportional to 1,009.28, 1,514.04 and 948.53 is: 1,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.28 : 1,514.04 = 948.53 : x
  2. Step 2: Convert to fraction form
    1,009.28/1,514.04 = 948.53/x
  3. Step 3: Cross multiply
    1,009.28x = 1,514.04 × 948.53
  4. Step 4: Simplify right side
    1,009.28x = 1,436,112.36
  5. Step 5: Solve for x
    x = 1,436,112.36/1,009.28
  6. Step 6: Final answer
    x = 1,422.91

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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.