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Finding the Fourth Proportional to 1,578.74, 2,368.22 and 483.88

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Solution

The fourth proportional to 1,578.74, 2,368.22 and 483.88 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.74 : 2,368.22 = 483.88 : x
  2. Step 2: Convert to fraction form
    1,578.74/2,368.22 = 483.88/x
  3. Step 3: Cross multiply
    1,578.74x = 2,368.22 × 483.88
  4. Step 4: Simplify right side
    1,578.74x = 1,145,934.29
  5. Step 5: Solve for x
    x = 1,145,934.29/1,578.74
  6. Step 6: Final answer
    x = 725.85

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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.