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Finding the Fourth Proportional to 1,493.64, 2,239.90 and 628.04

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Solution

The fourth proportional to 1,493.64, 2,239.90 and 628.04 is: 941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.64 : 2,239.90 = 628.04 : x
  2. Step 2: Convert to fraction form
    1,493.64/2,239.90 = 628.04/x
  3. Step 3: Cross multiply
    1,493.64x = 2,239.90 × 628.04
  4. Step 4: Simplify right side
    1,493.64x = 1,406,746.80
  5. Step 5: Solve for x
    x = 1,406,746.80/1,493.64
  6. Step 6: Final answer
    x = 941.82

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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.