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Finding the Fourth Proportional to 890.25, 1,335.29 and 403.13

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Solution

The fourth proportional to 890.25, 1,335.29 and 403.13 is: 604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.25 : 1,335.29 = 403.13 : x
  2. Step 2: Convert to fraction form
    890.25/1,335.29 = 403.13/x
  3. Step 3: Cross multiply
    890.25x = 1,335.29 × 403.13
  4. Step 4: Simplify right side
    890.25x = 538,286.77
  5. Step 5: Solve for x
    x = 538,286.77/890.25
  6. Step 6: Final answer
    x = 604.65

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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.