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Finding the Fourth Proportional to 1,513.73, 2,269.56 and 771.51

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Solution

The fourth proportional to 1,513.73, 2,269.56 and 771.51 is: 1,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.73 : 2,269.56 = 771.51 : x
  2. Step 2: Convert to fraction form
    1,513.73/2,269.56 = 771.51/x
  3. Step 3: Cross multiply
    1,513.73x = 2,269.56 × 771.51
  4. Step 4: Simplify right side
    1,513.73x = 1,750,995.30
  5. Step 5: Solve for x
    x = 1,750,995.30/1,513.73
  6. Step 6: Final answer
    x = 1,156.74

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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.