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Finding the Fourth Proportional to 1,155.44, 1,592.84 and 761.78

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Solution

The fourth proportional to 1,155.44, 1,592.84 and 761.78 is: 1,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.44 : 1,592.84 = 761.78 : x
  2. Step 2: Convert to fraction form
    1,155.44/1,592.84 = 761.78/x
  3. Step 3: Cross multiply
    1,155.44x = 1,592.84 × 761.78
  4. Step 4: Simplify right side
    1,155.44x = 1,213,399.54
  5. Step 5: Solve for x
    x = 1,213,399.54/1,155.44
  6. Step 6: Final answer
    x = 1,050.16

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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.