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Finding the Fourth Proportional to 841.19, 1,159.56 and 591.80

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Solution

The fourth proportional to 841.19, 1,159.56 and 591.80 is: 815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.19 : 1,159.56 = 591.80 : x
  2. Step 2: Convert to fraction form
    841.19/1,159.56 = 591.80/x
  3. Step 3: Cross multiply
    841.19x = 1,159.56 × 591.80
  4. Step 4: Simplify right side
    841.19x = 686,221.81
  5. Step 5: Solve for x
    x = 686,221.81/841.19
  6. Step 6: Final answer
    x = 815.78

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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.