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Finding the Fourth Proportional to 622.89, 934.74 and 349.20

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Solution

The fourth proportional to 622.89, 934.74 and 349.20 is: 524.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.89 : 934.74 = 349.20 : x
  2. Step 2: Convert to fraction form
    622.89/934.74 = 349.20/x
  3. Step 3: Cross multiply
    622.89x = 934.74 × 349.20
  4. Step 4: Simplify right side
    622.89x = 326,411.21
  5. Step 5: Solve for x
    x = 326,411.21/622.89
  6. Step 6: Final answer
    x = 524.03

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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.