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Finding the Fourth Proportional to 1,244.59, 1,864.44 and 585.61

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Solution

The fourth proportional to 1,244.59, 1,864.44 and 585.61 is: 877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.59 : 1,864.44 = 585.61 : x
  2. Step 2: Convert to fraction form
    1,244.59/1,864.44 = 585.61/x
  3. Step 3: Cross multiply
    1,244.59x = 1,864.44 × 585.61
  4. Step 4: Simplify right side
    1,244.59x = 1,091,830.05
  5. Step 5: Solve for x
    x = 1,091,830.05/1,244.59
  6. Step 6: Final answer
    x = 877.26

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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.