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Finding the Fourth Proportional to 1,083.18, 1,494.79 and 585.82

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Solution

The fourth proportional to 1,083.18, 1,494.79 and 585.82 is: 808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.18 : 1,494.79 = 585.82 : x
  2. Step 2: Convert to fraction form
    1,083.18/1,494.79 = 585.82/x
  3. Step 3: Cross multiply
    1,083.18x = 1,494.79 × 585.82
  4. Step 4: Simplify right side
    1,083.18x = 875,670.21
  5. Step 5: Solve for x
    x = 875,670.21/1,083.18
  6. Step 6: Final answer
    x = 808.43

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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.