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Finding the Fourth Proportional to 840.94, 1,159.89 and 561.04

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Solution

The fourth proportional to 840.94, 1,159.89 and 561.04 is: 773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.94 : 1,159.89 = 561.04 : x
  2. Step 2: Convert to fraction form
    840.94/1,159.89 = 561.04/x
  3. Step 3: Cross multiply
    840.94x = 1,159.89 × 561.04
  4. Step 4: Simplify right side
    840.94x = 650,744.69
  5. Step 5: Solve for x
    x = 650,744.69/840.94
  6. Step 6: Final answer
    x = 773.83

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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.