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Finding the Fourth Proportional to 1,229.13, 1,844.51 and 579.91

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Solution

The fourth proportional to 1,229.13, 1,844.51 and 579.91 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.13 : 1,844.51 = 579.91 : x
  2. Step 2: Convert to fraction form
    1,229.13/1,844.51 = 579.91/x
  3. Step 3: Cross multiply
    1,229.13x = 1,844.51 × 579.91
  4. Step 4: Simplify right side
    1,229.13x = 1,069,649.79
  5. Step 5: Solve for x
    x = 1,069,649.79/1,229.13
  6. Step 6: Final answer
    x = 870.25

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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.