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Finding the Fourth Proportional to 605.20, 902.02 and 587.60

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Solution

The fourth proportional to 605.20, 902.02 and 587.60 is: 875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.20 : 902.02 = 587.60 : x
  2. Step 2: Convert to fraction form
    605.20/902.02 = 587.60/x
  3. Step 3: Cross multiply
    605.20x = 902.02 × 587.60
  4. Step 4: Simplify right side
    605.20x = 530,026.95
  5. Step 5: Solve for x
    x = 530,026.95/605.20
  6. Step 6: Final answer
    x = 875.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.