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Finding the Fourth Proportional to 976.49, 1,464.55 and 327.05

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Solution

The fourth proportional to 976.49, 1,464.55 and 327.05 is: 490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.49 : 1,464.55 = 327.05 : x
  2. Step 2: Convert to fraction form
    976.49/1,464.55 = 327.05/x
  3. Step 3: Cross multiply
    976.49x = 1,464.55 × 327.05
  4. Step 4: Simplify right side
    976.49x = 478,981.08
  5. Step 5: Solve for x
    x = 478,981.08/976.49
  6. Step 6: Final answer
    x = 490.51

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