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Finding the Fourth Proportional to 1,488.68, 2,234.23 and 623.60

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Solution

The fourth proportional to 1,488.68, 2,234.23 and 623.60 is: 935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.68 : 2,234.23 = 623.60 : x
  2. Step 2: Convert to fraction form
    1,488.68/2,234.23 = 623.60/x
  3. Step 3: Cross multiply
    1,488.68x = 2,234.23 × 623.60
  4. Step 4: Simplify right side
    1,488.68x = 1,393,251.54
  5. Step 5: Solve for x
    x = 1,393,251.54/1,488.68
  6. Step 6: Final answer
    x = 935.90

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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.