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Finding the Fourth Proportional to 902.79, 1,355.27 and 590.85

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Solution

The fourth proportional to 902.79, 1,355.27 and 590.85 is: 886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.79 : 1,355.27 = 590.85 : x
  2. Step 2: Convert to fraction form
    902.79/1,355.27 = 590.85/x
  3. Step 3: Cross multiply
    902.79x = 1,355.27 × 590.85
  4. Step 4: Simplify right side
    902.79x = 800,758.33
  5. Step 5: Solve for x
    x = 800,758.33/902.79
  6. Step 6: Final answer
    x = 886.98

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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.