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Finding the Fourth Proportional to 1,039.14, 1,433.90 and 591

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Solution

The fourth proportional to 1,039.14, 1,433.90 and 591 is: 815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.14 : 1,433.90 = 591 : x
  2. Step 2: Convert to fraction form
    1,039.14/1,433.90 = 591/x
  3. Step 3: Cross multiply
    1,039.14x = 1,433.90 × 591
  4. Step 4: Simplify right side
    1,039.14x = 847,431.95
  5. Step 5: Solve for x
    x = 847,431.95/1,039.14
  6. Step 6: Final answer
    x = 815.51

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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.