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Finding the Fourth Proportional to 1,488.30, 2,228.92 and 793.24

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Solution

The fourth proportional to 1,488.30, 2,228.92 and 793.24 is: 1,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.30 : 2,228.92 = 793.24 : x
  2. Step 2: Convert to fraction form
    1,488.30/2,228.92 = 793.24/x
  3. Step 3: Cross multiply
    1,488.30x = 2,228.92 × 793.24
  4. Step 4: Simplify right side
    1,488.30x = 1,768,073.48
  5. Step 5: Solve for x
    x = 1,768,073.48/1,488.30
  6. Step 6: Final answer
    x = 1,187.98

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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.