Home / 1,046.57-1,569.65-315.97

Finding the Fourth Proportional to 1,046.57, 1,569.65 and 315.97

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Solution

The fourth proportional to 1,046.57, 1,569.65 and 315.97 is: 473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.57 : 1,569.65 = 315.97 : x
  2. Step 2: Convert to fraction form
    1,046.57/1,569.65 = 315.97/x
  3. Step 3: Cross multiply
    1,046.57x = 1,569.65 × 315.97
  4. Step 4: Simplify right side
    1,046.57x = 495,960.73
  5. Step 5: Solve for x
    x = 495,960.73/1,046.57
  6. Step 6: Final answer
    x = 473.89

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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.