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Finding the Fourth Proportional to 1,369.41, 2,053.50 and 639.18

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Solution

The fourth proportional to 1,369.41, 2,053.50 and 639.18 is: 958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.41 : 2,053.50 = 639.18 : x
  2. Step 2: Convert to fraction form
    1,369.41/2,053.50 = 639.18/x
  3. Step 3: Cross multiply
    1,369.41x = 2,053.50 × 639.18
  4. Step 4: Simplify right side
    1,369.41x = 1,312,556.13
  5. Step 5: Solve for x
    x = 1,312,556.13/1,369.41
  6. Step 6: Final answer
    x = 958.48

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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.