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Finding the Fourth Proportional to 864.55, 1,297.77 and 762.49

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Solution

The fourth proportional to 864.55, 1,297.77 and 762.49 is: 1,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.55 : 1,297.77 = 762.49 : x
  2. Step 2: Convert to fraction form
    864.55/1,297.77 = 762.49/x
  3. Step 3: Cross multiply
    864.55x = 1,297.77 × 762.49
  4. Step 4: Simplify right side
    864.55x = 989,536.65
  5. Step 5: Solve for x
    x = 989,536.65/864.55
  6. Step 6: Final answer
    x = 1,144.57

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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.