Home / 1,193.01-1,789.50-315.43

Finding the Fourth Proportional to 1,193.01, 1,789.50 and 315.43

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Solution

The fourth proportional to 1,193.01, 1,789.50 and 315.43 is: 473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.01 : 1,789.50 = 315.43 : x
  2. Step 2: Convert to fraction form
    1,193.01/1,789.50 = 315.43/x
  3. Step 3: Cross multiply
    1,193.01x = 1,789.50 × 315.43
  4. Step 4: Simplify right side
    1,193.01x = 564,461.99
  5. Step 5: Solve for x
    x = 564,461.99/1,193.01
  6. Step 6: Final answer
    x = 473.14

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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.