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Finding the Fourth Proportional to 798.06, 1,195.57 and 623.91

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Solution

The fourth proportional to 798.06, 1,195.57 and 623.91 is: 934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.06 : 1,195.57 = 623.91 : x
  2. Step 2: Convert to fraction form
    798.06/1,195.57 = 623.91/x
  3. Step 3: Cross multiply
    798.06x = 1,195.57 × 623.91
  4. Step 4: Simplify right side
    798.06x = 745,928.08
  5. Step 5: Solve for x
    x = 745,928.08/798.06
  6. Step 6: Final answer
    x = 934.68

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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.