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Finding the Fourth Proportional to 1,259.65, 1,885.17 and 1,150.10

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Solution

The fourth proportional to 1,259.65, 1,885.17 and 1,150.10 is: 1,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.65 : 1,885.17 = 1,150.10 : x
  2. Step 2: Convert to fraction form
    1,259.65/1,885.17 = 1,150.10/x
  3. Step 3: Cross multiply
    1,259.65x = 1,885.17 × 1,150.10
  4. Step 4: Simplify right side
    1,259.65x = 2,168,135.97
  5. Step 5: Solve for x
    x = 2,168,135.97/1,259.65
  6. Step 6: Final answer
    x = 1,721.22

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1.5x scale

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.