Home / 1,032.18-1,549.35-758.40

Finding the Fourth Proportional to 1,032.18, 1,549.35 and 758.40

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Solution

The fourth proportional to 1,032.18, 1,549.35 and 758.40 is: 1,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.18 : 1,549.35 = 758.40 : x
  2. Step 2: Convert to fraction form
    1,032.18/1,549.35 = 758.40/x
  3. Step 3: Cross multiply
    1,032.18x = 1,549.35 × 758.40
  4. Step 4: Simplify right side
    1,032.18x = 1,175,027.04
  5. Step 5: Solve for x
    x = 1,175,027.04/1,032.18
  6. Step 6: Final answer
    x = 1,138.39

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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.