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Finding the Fourth Proportional to 976.10, 1,464.15 and 391.37

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Solution

The fourth proportional to 976.10, 1,464.15 and 391.37 is: 587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.10 : 1,464.15 = 391.37 : x
  2. Step 2: Convert to fraction form
    976.10/1,464.15 = 391.37/x
  3. Step 3: Cross multiply
    976.10x = 1,464.15 × 391.37
  4. Step 4: Simplify right side
    976.10x = 573,017.06
  5. Step 5: Solve for x
    x = 573,017.06/976.10
  6. Step 6: Final answer
    x = 587.05

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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.