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Finding the Fourth Proportional to 1,595.50, 2,394.20 and 729.88

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Solution

The fourth proportional to 1,595.50, 2,394.20 and 729.88 is: 1,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.50 : 2,394.20 = 729.88 : x
  2. Step 2: Convert to fraction form
    1,595.50/2,394.20 = 729.88/x
  3. Step 3: Cross multiply
    1,595.50x = 2,394.20 × 729.88
  4. Step 4: Simplify right side
    1,595.50x = 1,747,478.70
  5. Step 5: Solve for x
    x = 1,747,478.70/1,595.50
  6. Step 6: Final answer
    x = 1,095.25

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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.