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Finding the Fourth Proportional to 1,154.63, 1,595.12 and 757.23

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Solution

The fourth proportional to 1,154.63, 1,595.12 and 757.23 is: 1,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.63 : 1,595.12 = 757.23 : x
  2. Step 2: Convert to fraction form
    1,154.63/1,595.12 = 757.23/x
  3. Step 3: Cross multiply
    1,154.63x = 1,595.12 × 757.23
  4. Step 4: Simplify right side
    1,154.63x = 1,207,868.93
  5. Step 5: Solve for x
    x = 1,207,868.93/1,154.63
  6. Step 6: Final answer
    x = 1,046.11

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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.