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Finding the Fourth Proportional to 1,155.54, 1,732.41 and 539.16

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Solution

The fourth proportional to 1,155.54, 1,732.41 and 539.16 is: 808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.54 : 1,732.41 = 539.16 : x
  2. Step 2: Convert to fraction form
    1,155.54/1,732.41 = 539.16/x
  3. Step 3: Cross multiply
    1,155.54x = 1,732.41 × 539.16
  4. Step 4: Simplify right side
    1,155.54x = 934,046.18
  5. Step 5: Solve for x
    x = 934,046.18/1,155.54
  6. Step 6: Final answer
    x = 808.32

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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.