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Finding the Fourth Proportional to 759.99, 1,135.05 and 717.87

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Solution

The fourth proportional to 759.99, 1,135.05 and 717.87 is: 1,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.99 : 1,135.05 = 717.87 : x
  2. Step 2: Convert to fraction form
    759.99/1,135.05 = 717.87/x
  3. Step 3: Cross multiply
    759.99x = 1,135.05 × 717.87
  4. Step 4: Simplify right side
    759.99x = 814,818.34
  5. Step 5: Solve for x
    x = 814,818.34/759.99
  6. Step 6: Final answer
    x = 1,072.14

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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.