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Finding the Fourth Proportional to 1,800.10, 2,698.65 and 760.90

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Solution

The fourth proportional to 1,800.10, 2,698.65 and 760.90 is: 1,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.10 : 2,698.65 = 760.90 : x
  2. Step 2: Convert to fraction form
    1,800.10/2,698.65 = 760.90/x
  3. Step 3: Cross multiply
    1,800.10x = 2,698.65 × 760.90
  4. Step 4: Simplify right side
    1,800.10x = 2,053,402.79
  5. Step 5: Solve for x
    x = 2,053,402.79/1,800.10
  6. Step 6: Final answer
    x = 1,140.72

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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.