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Finding the Fourth Proportional to 895.05, 1,231.47 and 725.49

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Solution

The fourth proportional to 895.05, 1,231.47 and 725.49 is: 998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.05 : 1,231.47 = 725.49 : x
  2. Step 2: Convert to fraction form
    895.05/1,231.47 = 725.49/x
  3. Step 3: Cross multiply
    895.05x = 1,231.47 × 725.49
  4. Step 4: Simplify right side
    895.05x = 893,419.17
  5. Step 5: Solve for x
    x = 893,419.17/895.05
  6. Step 6: Final answer
    x = 998.18

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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.