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Finding the Fourth Proportional to 1,083.30, 1,494.95 and 585.94

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Solution

The fourth proportional to 1,083.30, 1,494.95 and 585.94 is: 808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.30 : 1,494.95 = 585.94 : x
  2. Step 2: Convert to fraction form
    1,083.30/1,494.95 = 585.94/x
  3. Step 3: Cross multiply
    1,083.30x = 1,494.95 × 585.94
  4. Step 4: Simplify right side
    1,083.30x = 875,948.73
  5. Step 5: Solve for x
    x = 875,948.73/1,083.30
  6. Step 6: Final answer
    x = 808.60

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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.