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Finding the Fourth Proportional to 842.28, 1,162.76 and 646.24

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Solution

The fourth proportional to 842.28, 1,162.76 and 646.24 is: 892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.28 : 1,162.76 = 646.24 : x
  2. Step 2: Convert to fraction form
    842.28/1,162.76 = 646.24/x
  3. Step 3: Cross multiply
    842.28x = 1,162.76 × 646.24
  4. Step 4: Simplify right side
    842.28x = 751,422.02
  5. Step 5: Solve for x
    x = 751,422.02/842.28
  6. Step 6: Final answer
    x = 892.13

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.