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Finding the Fourth Proportional to 834.20, 1,148.02 and 646.96

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Solution

The fourth proportional to 834.20, 1,148.02 and 646.96 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.20 : 1,148.02 = 646.96 : x
  2. Step 2: Convert to fraction form
    834.20/1,148.02 = 646.96/x
  3. Step 3: Cross multiply
    834.20x = 1,148.02 × 646.96
  4. Step 4: Simplify right side
    834.20x = 742,723.02
  5. Step 5: Solve for x
    x = 742,723.02/834.20
  6. Step 6: Final answer
    x = 890.34

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.