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Finding the Fourth Proportional to 721.42, 994.64 and 553.58

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Solution

The fourth proportional to 721.42, 994.64 and 553.58 is: 763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.42 : 994.64 = 553.58 : x
  2. Step 2: Convert to fraction form
    721.42/994.64 = 553.58/x
  3. Step 3: Cross multiply
    721.42x = 994.64 × 553.58
  4. Step 4: Simplify right side
    721.42x = 550,612.81
  5. Step 5: Solve for x
    x = 550,612.81/721.42
  6. Step 6: Final answer
    x = 763.23

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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.