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Finding the Fourth Proportional to 1,083.19, 1,494.80 and 585.83

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Solution

The fourth proportional to 1,083.19, 1,494.80 and 585.83 is: 808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.19 : 1,494.80 = 585.83 : x
  2. Step 2: Convert to fraction form
    1,083.19/1,494.80 = 585.83/x
  3. Step 3: Cross multiply
    1,083.19x = 1,494.80 × 585.83
  4. Step 4: Simplify right side
    1,083.19x = 875,704.82
  5. Step 5: Solve for x
    x = 875,704.82/1,083.19
  6. Step 6: Final answer
    x = 808.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.