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Finding the Fourth Proportional to 900.67, 1,348.06 and 488.79

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Solution

The fourth proportional to 900.67, 1,348.06 and 488.79 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.67 : 1,348.06 = 488.79 : x
  2. Step 2: Convert to fraction form
    900.67/1,348.06 = 488.79/x
  3. Step 3: Cross multiply
    900.67x = 1,348.06 × 488.79
  4. Step 4: Simplify right side
    900.67x = 658,918.25
  5. Step 5: Solve for x
    x = 658,918.25/900.67
  6. Step 6: Final answer
    x = 731.59

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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.