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Finding the Fourth Proportional to 1,131.53, 1,561.34 and 738.68

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Solution

The fourth proportional to 1,131.53, 1,561.34 and 738.68 is: 1,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.53 : 1,561.34 = 738.68 : x
  2. Step 2: Convert to fraction form
    1,131.53/1,561.34 = 738.68/x
  3. Step 3: Cross multiply
    1,131.53x = 1,561.34 × 738.68
  4. Step 4: Simplify right side
    1,131.53x = 1,153,324.67
  5. Step 5: Solve for x
    x = 1,153,324.67/1,131.53
  6. Step 6: Final answer
    x = 1,019.27

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.