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Finding the Fourth Proportional to 840.62, 1,159.63 and 491.11

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Solution

The fourth proportional to 840.62, 1,159.63 and 491.11 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.62 : 1,159.63 = 491.11 : x
  2. Step 2: Convert to fraction form
    840.62/1,159.63 = 491.11/x
  3. Step 3: Cross multiply
    840.62x = 1,159.63 × 491.11
  4. Step 4: Simplify right side
    840.62x = 569,504.86
  5. Step 5: Solve for x
    x = 569,504.86/840.62
  6. Step 6: Final answer
    x = 677.48

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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.