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Finding the Fourth Proportional to 890.59, 1,335.88 and 274.13

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Solution

The fourth proportional to 890.59, 1,335.88 and 274.13 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.59 : 1,335.88 = 274.13 : x
  2. Step 2: Convert to fraction form
    890.59/1,335.88 = 274.13/x
  3. Step 3: Cross multiply
    890.59x = 1,335.88 × 274.13
  4. Step 4: Simplify right side
    890.59x = 366,197.42
  5. Step 5: Solve for x
    x = 366,197.42/890.59
  6. Step 6: Final answer
    x = 411.19

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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.