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Finding the Fourth Proportional to 1,224.65, 1,827.06 and 1,049.28

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Solution

The fourth proportional to 1,224.65, 1,827.06 and 1,049.28 is: 1,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.65 : 1,827.06 = 1,049.28 : x
  2. Step 2: Convert to fraction form
    1,224.65/1,827.06 = 1,049.28/x
  3. Step 3: Cross multiply
    1,224.65x = 1,827.06 × 1,049.28
  4. Step 4: Simplify right side
    1,224.65x = 1,917,097.52
  5. Step 5: Solve for x
    x = 1,917,097.52/1,224.65
  6. Step 6: Final answer
    x = 1,565.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.