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Finding the Fourth Proportional to 602.15, 905.45 and 580.28

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Solution

The fourth proportional to 602.15, 905.45 and 580.28 is: 872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.15 : 905.45 = 580.28 : x
  2. Step 2: Convert to fraction form
    602.15/905.45 = 580.28/x
  3. Step 3: Cross multiply
    602.15x = 905.45 × 580.28
  4. Step 4: Simplify right side
    602.15x = 525,407.10
  5. Step 5: Solve for x
    x = 525,407.10/602.15
  6. Step 6: Final answer
    x = 872.56

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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.