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Finding the Fourth Proportional to 624.12, 930.74 and 547.44

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Solution

The fourth proportional to 624.12, 930.74 and 547.44 is: 816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.12 : 930.74 = 547.44 : x
  2. Step 2: Convert to fraction form
    624.12/930.74 = 547.44/x
  3. Step 3: Cross multiply
    624.12x = 930.74 × 547.44
  4. Step 4: Simplify right side
    624.12x = 509,524.31
  5. Step 5: Solve for x
    x = 509,524.31/624.12
  6. Step 6: Final answer
    x = 816.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.