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Finding the Fourth Proportional to 1,208.78, 1,667.52 and 761.20

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Solution

The fourth proportional to 1,208.78, 1,667.52 and 761.20 is: 1,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.78 : 1,667.52 = 761.20 : x
  2. Step 2: Convert to fraction form
    1,208.78/1,667.52 = 761.20/x
  3. Step 3: Cross multiply
    1,208.78x = 1,667.52 × 761.20
  4. Step 4: Simplify right side
    1,208.78x = 1,269,316.22
  5. Step 5: Solve for x
    x = 1,269,316.22/1,208.78
  6. Step 6: Final answer
    x = 1,050.08

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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.