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Finding the Fourth Proportional to 933.10, 1,287.52 and 540.05

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Solution

The fourth proportional to 933.10, 1,287.52 and 540.05 is: 745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.10 : 1,287.52 = 540.05 : x
  2. Step 2: Convert to fraction form
    933.10/1,287.52 = 540.05/x
  3. Step 3: Cross multiply
    933.10x = 1,287.52 × 540.05
  4. Step 4: Simplify right side
    933.10x = 695,325.18
  5. Step 5: Solve for x
    x = 695,325.18/933.10
  6. Step 6: Final answer
    x = 745.18

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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.