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Finding the Fourth Proportional to 1,208.74, 1,813.72 and 478.93

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Solution

The fourth proportional to 1,208.74, 1,813.72 and 478.93 is: 718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.74 : 1,813.72 = 478.93 : x
  2. Step 2: Convert to fraction form
    1,208.74/1,813.72 = 478.93/x
  3. Step 3: Cross multiply
    1,208.74x = 1,813.72 × 478.93
  4. Step 4: Simplify right side
    1,208.74x = 868,650.65
  5. Step 5: Solve for x
    x = 868,650.65/1,208.74
  6. Step 6: Final answer
    x = 718.64

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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.