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Finding the Fourth Proportional to 2,493.68, 3,740.50 and 644.63

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Solution

The fourth proportional to 2,493.68, 3,740.50 and 644.63 is: 966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.68 : 3,740.50 = 644.63 : x
  2. Step 2: Convert to fraction form
    2,493.68/3,740.50 = 644.63/x
  3. Step 3: Cross multiply
    2,493.68x = 3,740.50 × 644.63
  4. Step 4: Simplify right side
    2,493.68x = 2,411,235.29
  5. Step 5: Solve for x
    x = 2,411,235.29/2,493.68
  6. Step 6: Final answer
    x = 966.94

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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.