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Finding the Fourth Proportional to 1,810.66, 2,713.53 and 769.35

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Solution

The fourth proportional to 1,810.66, 2,713.53 and 769.35 is: 1,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.66 : 2,713.53 = 769.35 : x
  2. Step 2: Convert to fraction form
    1,810.66/2,713.53 = 769.35/x
  3. Step 3: Cross multiply
    1,810.66x = 2,713.53 × 769.35
  4. Step 4: Simplify right side
    1,810.66x = 2,087,654.31
  5. Step 5: Solve for x
    x = 2,087,654.31/1,810.66
  6. Step 6: Final answer
    x = 1,152.98

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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.