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Finding the Fourth Proportional to 846.73, 1,162.28 and 781.12

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Solution

The fourth proportional to 846.73, 1,162.28 and 781.12 is: 1,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.73 : 1,162.28 = 781.12 : x
  2. Step 2: Convert to fraction form
    846.73/1,162.28 = 781.12/x
  3. Step 3: Cross multiply
    846.73x = 1,162.28 × 781.12
  4. Step 4: Simplify right side
    846.73x = 907,880.15
  5. Step 5: Solve for x
    x = 907,880.15/846.73
  6. Step 6: Final answer
    x = 1,072.22

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.