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Finding the Fourth Proportional to 840.13, 1,158.72 and 541.41

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Solution

The fourth proportional to 840.13, 1,158.72 and 541.41 is: 746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.13 : 1,158.72 = 541.41 : x
  2. Step 2: Convert to fraction form
    840.13/1,158.72 = 541.41/x
  3. Step 3: Cross multiply
    840.13x = 1,158.72 × 541.41
  4. Step 4: Simplify right side
    840.13x = 627,342.60
  5. Step 5: Solve for x
    x = 627,342.60/840.13
  6. Step 6: Final answer
    x = 746.72

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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.