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Finding the Fourth Proportional to 1,505.93, 2,078.19 and 876.49

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Solution

The fourth proportional to 1,505.93, 2,078.19 and 876.49 is: 1,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.93 : 2,078.19 = 876.49 : x
  2. Step 2: Convert to fraction form
    1,505.93/2,078.19 = 876.49/x
  3. Step 3: Cross multiply
    1,505.93x = 2,078.19 × 876.49
  4. Step 4: Simplify right side
    1,505.93x = 1,821,507.56
  5. Step 5: Solve for x
    x = 1,821,507.56/1,505.93
  6. Step 6: Final answer
    x = 1,209.56

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1.5x scale

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.