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Finding the Fourth Proportional to 841.73, 1,156.17 and 694.04

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Solution

The fourth proportional to 841.73, 1,156.17 and 694.04 is: 953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.73 : 1,156.17 = 694.04 : x
  2. Step 2: Convert to fraction form
    841.73/1,156.17 = 694.04/x
  3. Step 3: Cross multiply
    841.73x = 1,156.17 × 694.04
  4. Step 4: Simplify right side
    841.73x = 802,425.05
  5. Step 5: Solve for x
    x = 802,425.05/841.73
  6. Step 6: Final answer
    x = 953.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.