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Finding the Fourth Proportional to 933.13, 1,399.69 and 356.14

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Solution

The fourth proportional to 933.13, 1,399.69 and 356.14 is: 534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.13 : 1,399.69 = 356.14 : x
  2. Step 2: Convert to fraction form
    933.13/1,399.69 = 356.14/x
  3. Step 3: Cross multiply
    933.13x = 1,399.69 × 356.14
  4. Step 4: Simplify right side
    933.13x = 498,478.60
  5. Step 5: Solve for x
    x = 498,478.60/933.13
  6. Step 6: Final answer
    x = 534.20

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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.