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Finding the Fourth Proportional to 890.14, 1,335.20 and 495.07

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Solution

The fourth proportional to 890.14, 1,335.20 and 495.07 is: 742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.14 : 1,335.20 = 495.07 : x
  2. Step 2: Convert to fraction form
    890.14/1,335.20 = 495.07/x
  3. Step 3: Cross multiply
    890.14x = 1,335.20 × 495.07
  4. Step 4: Simplify right side
    890.14x = 661,010.79
  5. Step 5: Solve for x
    x = 661,010.79/890.14
  6. Step 6: Final answer
    x = 742.60

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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.