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Finding the Fourth Proportional to 624.53, 937.15 and 277.82

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Solution

The fourth proportional to 624.53, 937.15 and 277.82 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.53 : 937.15 = 277.82 : x
  2. Step 2: Convert to fraction form
    624.53/937.15 = 277.82/x
  3. Step 3: Cross multiply
    624.53x = 937.15 × 277.82
  4. Step 4: Simplify right side
    624.53x = 260,359.01
  5. Step 5: Solve for x
    x = 260,359.01/624.53
  6. Step 6: Final answer
    x = 416.89

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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.