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Finding the Fourth Proportional to 1,238.24, 1,854.65 and 620.87

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Solution

The fourth proportional to 1,238.24, 1,854.65 and 620.87 is: 929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.24 : 1,854.65 = 620.87 : x
  2. Step 2: Convert to fraction form
    1,238.24/1,854.65 = 620.87/x
  3. Step 3: Cross multiply
    1,238.24x = 1,854.65 × 620.87
  4. Step 4: Simplify right side
    1,238.24x = 1,151,485.33
  5. Step 5: Solve for x
    x = 1,151,485.33/1,238.24
  6. Step 6: Final answer
    x = 929.94

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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.