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Finding the Fourth Proportional to 1,135, 1,564.84 and 839.76

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Solution

The fourth proportional to 1,135, 1,564.84 and 839.76 is: 1,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135 : 1,564.84 = 839.76 : x
  2. Step 2: Convert to fraction form
    1,135/1,564.84 = 839.76/x
  3. Step 3: Cross multiply
    1,135x = 1,564.84 × 839.76
  4. Step 4: Simplify right side
    1,135x = 1,314,090.04
  5. Step 5: Solve for x
    x = 1,314,090.04/1,135
  6. Step 6: Final answer
    x = 1,157.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.