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Finding the Fourth Proportional to 759.43, 1,131.51 and 709.75

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Solution

The fourth proportional to 759.43, 1,131.51 and 709.75 is: 1,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.43 : 1,131.51 = 709.75 : x
  2. Step 2: Convert to fraction form
    759.43/1,131.51 = 709.75/x
  3. Step 3: Cross multiply
    759.43x = 1,131.51 × 709.75
  4. Step 4: Simplify right side
    759.43x = 803,089.22
  5. Step 5: Solve for x
    x = 803,089.22/759.43
  6. Step 6: Final answer
    x = 1,057.49

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Double scale
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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.