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Finding the Fourth Proportional to 757.16, 1,135.08 and 610.65

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Solution

The fourth proportional to 757.16, 1,135.08 and 610.65 is: 915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.16 : 1,135.08 = 610.65 : x
  2. Step 2: Convert to fraction form
    757.16/1,135.08 = 610.65/x
  3. Step 3: Cross multiply
    757.16x = 1,135.08 × 610.65
  4. Step 4: Simplify right side
    757.16x = 693,136.60
  5. Step 5: Solve for x
    x = 693,136.60/757.16
  6. Step 6: Final answer
    x = 915.44

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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.