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Finding the Fourth Proportional to 1,612.34, 2,418.03 and 624.93

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Solution

The fourth proportional to 1,612.34, 2,418.03 and 624.93 is: 937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.34 : 2,418.03 = 624.93 : x
  2. Step 2: Convert to fraction form
    1,612.34/2,418.03 = 624.93/x
  3. Step 3: Cross multiply
    1,612.34x = 2,418.03 × 624.93
  4. Step 4: Simplify right side
    1,612.34x = 1,511,098.98
  5. Step 5: Solve for x
    x = 1,511,098.98/1,612.34
  6. Step 6: Final answer
    x = 937.21

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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.