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Finding the Fourth Proportional to 1,155.78, 1,731.12 and 848.16

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Solution

The fourth proportional to 1,155.78, 1,731.12 and 848.16 is: 1,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.78 : 1,731.12 = 848.16 : x
  2. Step 2: Convert to fraction form
    1,155.78/1,731.12 = 848.16/x
  3. Step 3: Cross multiply
    1,155.78x = 1,731.12 × 848.16
  4. Step 4: Simplify right side
    1,155.78x = 1,468,266.74
  5. Step 5: Solve for x
    x = 1,468,266.74/1,155.78
  6. Step 6: Final answer
    x = 1,270.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.