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Finding the Fourth Proportional to 945.20, 1,415.10 and 580.70

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Solution

The fourth proportional to 945.20, 1,415.10 and 580.70 is: 869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.20 : 1,415.10 = 580.70 : x
  2. Step 2: Convert to fraction form
    945.20/1,415.10 = 580.70/x
  3. Step 3: Cross multiply
    945.20x = 1,415.10 × 580.70
  4. Step 4: Simplify right side
    945.20x = 821,748.57
  5. Step 5: Solve for x
    x = 821,748.57/945.20
  6. Step 6: Final answer
    x = 869.39

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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.