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Finding the Fourth Proportional to 649.18, 972.42 and 323.56

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Solution

The fourth proportional to 649.18, 972.42 and 323.56 is: 484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.18 : 972.42 = 323.56 : x
  2. Step 2: Convert to fraction form
    649.18/972.42 = 323.56/x
  3. Step 3: Cross multiply
    649.18x = 972.42 × 323.56
  4. Step 4: Simplify right side
    649.18x = 314,636.22
  5. Step 5: Solve for x
    x = 314,636.22/649.18
  6. Step 6: Final answer
    x = 484.67

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