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Finding the Fourth Proportional to 1,611.96, 2,418.48 and 637.53

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Solution

The fourth proportional to 1,611.96, 2,418.48 and 637.53 is: 956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.96 : 2,418.48 = 637.53 : x
  2. Step 2: Convert to fraction form
    1,611.96/2,418.48 = 637.53/x
  3. Step 3: Cross multiply
    1,611.96x = 2,418.48 × 637.53
  4. Step 4: Simplify right side
    1,611.96x = 1,541,853.55
  5. Step 5: Solve for x
    x = 1,541,853.55/1,611.96
  6. Step 6: Final answer
    x = 956.51

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1.5x scale

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.