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Finding the Fourth Proportional to 933.92, 1,400.49 and 348.87

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Solution

The fourth proportional to 933.92, 1,400.49 and 348.87 is: 523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.92 : 1,400.49 = 348.87 : x
  2. Step 2: Convert to fraction form
    933.92/1,400.49 = 348.87/x
  3. Step 3: Cross multiply
    933.92x = 1,400.49 × 348.87
  4. Step 4: Simplify right side
    933.92x = 488,588.95
  5. Step 5: Solve for x
    x = 488,588.95/933.92
  6. Step 6: Final answer
    x = 523.16

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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.