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Finding the Fourth Proportional to 824.96, 1,231.60 and 641.36

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Solution

The fourth proportional to 824.96, 1,231.60 and 641.36 is: 957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.96 : 1,231.60 = 641.36 : x
  2. Step 2: Convert to fraction form
    824.96/1,231.60 = 641.36/x
  3. Step 3: Cross multiply
    824.96x = 1,231.60 × 641.36
  4. Step 4: Simplify right side
    824.96x = 789,898.98
  5. Step 5: Solve for x
    x = 789,898.98/824.96
  6. Step 6: Final answer
    x = 957.50

Related Problems

Find fourth proportional to 412.48, 615.80 and 320.68
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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.