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Finding the Fourth Proportional to 876, 1,313.86 and 291.26

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Solution

The fourth proportional to 876, 1,313.86 and 291.26 is: 436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    876 : 1,313.86 = 291.26 : x
  2. Step 2: Convert to fraction form
    876/1,313.86 = 291.26/x
  3. Step 3: Cross multiply
    876x = 1,313.86 × 291.26
  4. Step 4: Simplify right side
    876x = 382,674.86
  5. Step 5: Solve for x
    x = 382,674.86/876
  6. Step 6: Final answer
    x = 436.84

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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.