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Finding the Fourth Proportional to 767.12, 1,057.86 and 626.80

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Solution

The fourth proportional to 767.12, 1,057.86 and 626.80 is: 864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.12 : 1,057.86 = 626.80 : x
  2. Step 2: Convert to fraction form
    767.12/1,057.86 = 626.80/x
  3. Step 3: Cross multiply
    767.12x = 1,057.86 × 626.80
  4. Step 4: Simplify right side
    767.12x = 663,066.65
  5. Step 5: Solve for x
    x = 663,066.65/767.12
  6. Step 6: Final answer
    x = 864.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.