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Finding the Fourth Proportional to 976.11, 1,462.74 and 488.49

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Solution

The fourth proportional to 976.11, 1,462.74 and 488.49 is: 732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.11 : 1,462.74 = 488.49 : x
  2. Step 2: Convert to fraction form
    976.11/1,462.74 = 488.49/x
  3. Step 3: Cross multiply
    976.11x = 1,462.74 × 488.49
  4. Step 4: Simplify right side
    976.11x = 714,533.86
  5. Step 5: Solve for x
    x = 714,533.86/976.11
  6. Step 6: Final answer
    x = 732.02

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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.