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Finding the Fourth Proportional to 840.11, 1,158.82 and 591.41

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Solution

The fourth proportional to 840.11, 1,158.82 and 591.41 is: 815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.11 : 1,158.82 = 591.41 : x
  2. Step 2: Convert to fraction form
    840.11/1,158.82 = 591.41/x
  3. Step 3: Cross multiply
    840.11x = 1,158.82 × 591.41
  4. Step 4: Simplify right side
    840.11x = 685,337.74
  5. Step 5: Solve for x
    x = 685,337.74/840.11
  6. Step 6: Final answer
    x = 815.77

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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.