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Finding the Fourth Proportional to 1,047.97, 1,569.61 and 815.06

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Solution

The fourth proportional to 1,047.97, 1,569.61 and 815.06 is: 1,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.97 : 1,569.61 = 815.06 : x
  2. Step 2: Convert to fraction form
    1,047.97/1,569.61 = 815.06/x
  3. Step 3: Cross multiply
    1,047.97x = 1,569.61 × 815.06
  4. Step 4: Simplify right side
    1,047.97x = 1,279,331.27
  5. Step 5: Solve for x
    x = 1,279,331.27/1,047.97
  6. Step 6: Final answer
    x = 1,220.77

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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.