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Finding the Fourth Proportional to 1,418.51, 2,125.95 and 638.48

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Solution

The fourth proportional to 1,418.51, 2,125.95 and 638.48 is: 956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.51 : 2,125.95 = 638.48 : x
  2. Step 2: Convert to fraction form
    1,418.51/2,125.95 = 638.48/x
  3. Step 3: Cross multiply
    1,418.51x = 2,125.95 × 638.48
  4. Step 4: Simplify right side
    1,418.51x = 1,357,379.48
  5. Step 5: Solve for x
    x = 1,357,379.48/1,418.51
  6. Step 6: Final answer
    x = 956.90

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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.