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Finding the Fourth Proportional to 840.62, 1,261.32 and 515.80

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Solution

The fourth proportional to 840.62, 1,261.32 and 515.80 is: 773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.62 : 1,261.32 = 515.80 : x
  2. Step 2: Convert to fraction form
    840.62/1,261.32 = 515.80/x
  3. Step 3: Cross multiply
    840.62x = 1,261.32 × 515.80
  4. Step 4: Simplify right side
    840.62x = 650,588.86
  5. Step 5: Solve for x
    x = 650,588.86/840.62
  6. Step 6: Final answer
    x = 773.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.