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Finding the Fourth Proportional to 624.11, 934.89 and 377.16

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Solution

The fourth proportional to 624.11, 934.89 and 377.16 is: 564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.11 : 934.89 = 377.16 : x
  2. Step 2: Convert to fraction form
    624.11/934.89 = 377.16/x
  3. Step 3: Cross multiply
    624.11x = 934.89 × 377.16
  4. Step 4: Simplify right side
    624.11x = 352,603.11
  5. Step 5: Solve for x
    x = 352,603.11/624.11
  6. Step 6: Final answer
    x = 564.97

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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.