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Finding the Fourth Proportional to 728.02, 998.93 and 721.14

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Solution

The fourth proportional to 728.02, 998.93 and 721.14 is: 989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.02 : 998.93 = 721.14 : x
  2. Step 2: Convert to fraction form
    728.02/998.93 = 721.14/x
  3. Step 3: Cross multiply
    728.02x = 998.93 × 721.14
  4. Step 4: Simplify right side
    728.02x = 720,368.38
  5. Step 5: Solve for x
    x = 720,368.38/728.02
  6. Step 6: Final answer
    x = 989.49

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1.5x scale

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.