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Finding the Fourth Proportional to 976.14, 1,464.21 and 490.14

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Solution

The fourth proportional to 976.14, 1,464.21 and 490.14 is: 735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.14 : 1,464.21 = 490.14 : x
  2. Step 2: Convert to fraction form
    976.14/1,464.21 = 490.14/x
  3. Step 3: Cross multiply
    976.14x = 1,464.21 × 490.14
  4. Step 4: Simplify right side
    976.14x = 717,667.89
  5. Step 5: Solve for x
    x = 717,667.89/976.14
  6. Step 6: Final answer
    x = 735.21

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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.