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Finding the Fourth Proportional to 933.86, 1,401.02 and 348.89

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Solution

The fourth proportional to 933.86, 1,401.02 and 348.89 is: 523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.86 : 1,401.02 = 348.89 : x
  2. Step 2: Convert to fraction form
    933.86/1,401.02 = 348.89/x
  3. Step 3: Cross multiply
    933.86x = 1,401.02 × 348.89
  4. Step 4: Simplify right side
    933.86x = 488,794.43
  5. Step 5: Solve for x
    x = 488,794.43/933.86
  6. Step 6: Final answer
    x = 523.41

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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.