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Finding the Fourth Proportional to 1,507.78, 2,080.62 and 878.40

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Solution

The fourth proportional to 1,507.78, 2,080.62 and 878.40 is: 1,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.78 : 2,080.62 = 878.40 : x
  2. Step 2: Convert to fraction form
    1,507.78/2,080.62 = 878.40/x
  3. Step 3: Cross multiply
    1,507.78x = 2,080.62 × 878.40
  4. Step 4: Simplify right side
    1,507.78x = 1,827,616.61
  5. Step 5: Solve for x
    x = 1,827,616.61/1,507.78
  6. Step 6: Final answer
    x = 1,212.12

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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.