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Finding the Fourth Proportional to 1,206.40, 1,810.28 and 512.95

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Solution

The fourth proportional to 1,206.40, 1,810.28 and 512.95 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.40 : 1,810.28 = 512.95 : x
  2. Step 2: Convert to fraction form
    1,206.40/1,810.28 = 512.95/x
  3. Step 3: Cross multiply
    1,206.40x = 1,810.28 × 512.95
  4. Step 4: Simplify right side
    1,206.40x = 928,583.13
  5. Step 5: Solve for x
    x = 928,583.13/1,206.40
  6. Step 6: Final answer
    x = 769.71

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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.