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Finding the Fourth Proportional to 839.66, 1,159.26 and 541.04

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Solution

The fourth proportional to 839.66, 1,159.26 and 541.04 is: 746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.66 : 1,159.26 = 541.04 : x
  2. Step 2: Convert to fraction form
    839.66/1,159.26 = 541.04/x
  3. Step 3: Cross multiply
    839.66x = 1,159.26 × 541.04
  4. Step 4: Simplify right side
    839.66x = 627,206.03
  5. Step 5: Solve for x
    x = 627,206.03/839.66
  6. Step 6: Final answer
    x = 746.98

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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.