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Finding the Fourth Proportional to 841.96, 1,159.26 and 723.64

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Solution

The fourth proportional to 841.96, 1,159.26 and 723.64 is: 996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.96 : 1,159.26 = 723.64 : x
  2. Step 2: Convert to fraction form
    841.96/1,159.26 = 723.64/x
  3. Step 3: Cross multiply
    841.96x = 1,159.26 × 723.64
  4. Step 4: Simplify right side
    841.96x = 838,886.91
  5. Step 5: Solve for x
    x = 838,886.91/841.96
  6. Step 6: Final answer
    x = 996.35

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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.