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Finding the Fourth Proportional to 624.51, 937.71 and 382.05

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Solution

The fourth proportional to 624.51, 937.71 and 382.05 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.51 : 937.71 = 382.05 : x
  2. Step 2: Convert to fraction form
    624.51/937.71 = 382.05/x
  3. Step 3: Cross multiply
    624.51x = 937.71 × 382.05
  4. Step 4: Simplify right side
    624.51x = 358,252.11
  5. Step 5: Solve for x
    x = 358,252.11/624.51
  6. Step 6: Final answer
    x = 573.65

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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.