Home / 1,046.38-1,569.76-315.88

Finding the Fourth Proportional to 1,046.38, 1,569.76 and 315.88

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Solution

The fourth proportional to 1,046.38, 1,569.76 and 315.88 is: 473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.38 : 1,569.76 = 315.88 : x
  2. Step 2: Convert to fraction form
    1,046.38/1,569.76 = 315.88/x
  3. Step 3: Cross multiply
    1,046.38x = 1,569.76 × 315.88
  4. Step 4: Simplify right side
    1,046.38x = 495,855.79
  5. Step 5: Solve for x
    x = 495,855.79/1,046.38
  6. Step 6: Final answer
    x = 473.88

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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.