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Finding the Fourth Proportional to 768.32, 1,147 and 741.32

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Solution

The fourth proportional to 768.32, 1,147 and 741.32 is: 1,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,147 = 741.32 : x
  2. Step 2: Convert to fraction form
    768.32/1,147 = 741.32/x
  3. Step 3: Cross multiply
    768.32x = 1,147 × 741.32
  4. Step 4: Simplify right side
    768.32x = 850,294.04
  5. Step 5: Solve for x
    x = 850,294.04/768.32
  6. Step 6: Final answer
    x = 1,106.69

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1.5x scale

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.