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Finding the Fourth Proportional to 933.19, 1,400.03 and 283.92

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Solution

The fourth proportional to 933.19, 1,400.03 and 283.92 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.19 : 1,400.03 = 283.92 : x
  2. Step 2: Convert to fraction form
    933.19/1,400.03 = 283.92/x
  3. Step 3: Cross multiply
    933.19x = 1,400.03 × 283.92
  4. Step 4: Simplify right side
    933.19x = 397,500.38
  5. Step 5: Solve for x
    x = 397,500.38/933.19
  6. Step 6: Final answer
    x = 425.96

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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.