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Finding the Fourth Proportional to 1,169.87, 1,746.24 and 1,031.48

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Solution

The fourth proportional to 1,169.87, 1,746.24 and 1,031.48 is: 1,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.87 : 1,746.24 = 1,031.48 : x
  2. Step 2: Convert to fraction form
    1,169.87/1,746.24 = 1,031.48/x
  3. Step 3: Cross multiply
    1,169.87x = 1,746.24 × 1,031.48
  4. Step 4: Simplify right side
    1,169.87x = 1,801,199.04
  5. Step 5: Solve for x
    x = 1,801,199.04/1,169.87
  6. Step 6: Final answer
    x = 1,539.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.