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Finding the Fourth Proportional to 840.50, 1,160.42 and 541.86

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Solution

The fourth proportional to 840.50, 1,160.42 and 541.86 is: 748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.50 : 1,160.42 = 541.86 : x
  2. Step 2: Convert to fraction form
    840.50/1,160.42 = 541.86/x
  3. Step 3: Cross multiply
    840.50x = 1,160.42 × 541.86
  4. Step 4: Simplify right side
    840.50x = 628,785.18
  5. Step 5: Solve for x
    x = 628,785.18/840.50
  6. Step 6: Final answer
    x = 748.11

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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.