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Finding the Fourth Proportional to 891.93, 1,338.42 and 405.12

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Solution

The fourth proportional to 891.93, 1,338.42 and 405.12 is: 607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.93 : 1,338.42 = 405.12 : x
  2. Step 2: Convert to fraction form
    891.93/1,338.42 = 405.12/x
  3. Step 3: Cross multiply
    891.93x = 1,338.42 × 405.12
  4. Step 4: Simplify right side
    891.93x = 542,220.71
  5. Step 5: Solve for x
    x = 542,220.71/891.93
  6. Step 6: Final answer
    x = 607.92

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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.