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Finding the Fourth Proportional to 624.10, 934.09 and 346.02

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Solution

The fourth proportional to 624.10, 934.09 and 346.02 is: 517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 934.09 = 346.02 : x
  2. Step 2: Convert to fraction form
    624.10/934.09 = 346.02/x
  3. Step 3: Cross multiply
    624.10x = 934.09 × 346.02
  4. Step 4: Simplify right side
    624.10x = 323,213.82
  5. Step 5: Solve for x
    x = 323,213.82/624.10
  6. Step 6: Final answer
    x = 517.89

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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.