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Finding the Fourth Proportional to 1,014.20, 1,520.94 and 436.76

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Solution

The fourth proportional to 1,014.20, 1,520.94 and 436.76 is: 654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.20 : 1,520.94 = 436.76 : x
  2. Step 2: Convert to fraction form
    1,014.20/1,520.94 = 436.76/x
  3. Step 3: Cross multiply
    1,014.20x = 1,520.94 × 436.76
  4. Step 4: Simplify right side
    1,014.20x = 664,285.75
  5. Step 5: Solve for x
    x = 664,285.75/1,014.20
  6. Step 6: Final answer
    x = 654.98

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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.