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Finding the Fourth Proportional to 1,596.74, 2,394.06 and 621.68

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Solution

The fourth proportional to 1,596.74, 2,394.06 and 621.68 is: 932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.74 : 2,394.06 = 621.68 : x
  2. Step 2: Convert to fraction form
    1,596.74/2,394.06 = 621.68/x
  3. Step 3: Cross multiply
    1,596.74x = 2,394.06 × 621.68
  4. Step 4: Simplify right side
    1,596.74x = 1,488,339.22
  5. Step 5: Solve for x
    x = 1,488,339.22/1,596.74
  6. Step 6: Final answer
    x = 932.11

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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.