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Finding the Fourth Proportional to 840.47, 1,158.90 and 591.71

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Solution

The fourth proportional to 840.47, 1,158.90 and 591.71 is: 815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.47 : 1,158.90 = 591.71 : x
  2. Step 2: Convert to fraction form
    840.47/1,158.90 = 591.71/x
  3. Step 3: Cross multiply
    840.47x = 1,158.90 × 591.71
  4. Step 4: Simplify right side
    840.47x = 685,732.72
  5. Step 5: Solve for x
    x = 685,732.72/840.47
  6. Step 6: Final answer
    x = 815.89

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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.