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Finding the Fourth Proportional to 767.42, 1,144.16 and 693.62

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Solution

The fourth proportional to 767.42, 1,144.16 and 693.62 is: 1,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.42 : 1,144.16 = 693.62 : x
  2. Step 2: Convert to fraction form
    767.42/1,144.16 = 693.62/x
  3. Step 3: Cross multiply
    767.42x = 1,144.16 × 693.62
  4. Step 4: Simplify right side
    767.42x = 793,612.26
  5. Step 5: Solve for x
    x = 793,612.26/767.42
  6. Step 6: Final answer
    x = 1,034.13

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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.