Home / 1,488.50-2,231.24-513.98

Finding the Fourth Proportional to 1,488.50, 2,231.24 and 513.98

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Solution

The fourth proportional to 1,488.50, 2,231.24 and 513.98 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.50 : 2,231.24 = 513.98 : x
  2. Step 2: Convert to fraction form
    1,488.50/2,231.24 = 513.98/x
  3. Step 3: Cross multiply
    1,488.50x = 2,231.24 × 513.98
  4. Step 4: Simplify right side
    1,488.50x = 1,146,799.01
  5. Step 5: Solve for x
    x = 1,146,799.01/1,488.50
  6. Step 6: Final answer
    x = 770.44

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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.