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Finding the Fourth Proportional to 1,506.75, 2,260.50 and 813.12

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Solution

The fourth proportional to 1,506.75, 2,260.50 and 813.12 is: 1,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.75 : 2,260.50 = 813.12 : x
  2. Step 2: Convert to fraction form
    1,506.75/2,260.50 = 813.12/x
  3. Step 3: Cross multiply
    1,506.75x = 2,260.50 × 813.12
  4. Step 4: Simplify right side
    1,506.75x = 1,838,057.76
  5. Step 5: Solve for x
    x = 1,838,057.76/1,506.75
  6. Step 6: Final answer
    x = 1,219.88

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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.