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Finding the Fourth Proportional to 841.58, 1,159.88 and 817.89

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Solution

The fourth proportional to 841.58, 1,159.88 and 817.89 is: 1,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.58 : 1,159.88 = 817.89 : x
  2. Step 2: Convert to fraction form
    841.58/1,159.88 = 817.89/x
  3. Step 3: Cross multiply
    841.58x = 1,159.88 × 817.89
  4. Step 4: Simplify right side
    841.58x = 948,654.25
  5. Step 5: Solve for x
    x = 948,654.25/841.58
  6. Step 6: Final answer
    x = 1,127.23

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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.