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Finding the Fourth Proportional to 840.12, 1,159.02 and 577.68

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Solution

The fourth proportional to 840.12, 1,159.02 and 577.68 is: 796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.12 : 1,159.02 = 577.68 : x
  2. Step 2: Convert to fraction form
    840.12/1,159.02 = 577.68/x
  3. Step 3: Cross multiply
    840.12x = 1,159.02 × 577.68
  4. Step 4: Simplify right side
    840.12x = 669,542.67
  5. Step 5: Solve for x
    x = 669,542.67/840.12
  6. Step 6: Final answer
    x = 796.96

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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.