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Finding the Fourth Proportional to 897.93, 1,346.89 and 281.69

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Solution

The fourth proportional to 897.93, 1,346.89 and 281.69 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.93 : 1,346.89 = 281.69 : x
  2. Step 2: Convert to fraction form
    897.93/1,346.89 = 281.69/x
  3. Step 3: Cross multiply
    897.93x = 1,346.89 × 281.69
  4. Step 4: Simplify right side
    897.93x = 379,398.01
  5. Step 5: Solve for x
    x = 379,398.01/897.93
  6. Step 6: Final answer
    x = 422.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.