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Finding the Fourth Proportional to 1,575.45, 2,363.78 and 480.13

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Solution

The fourth proportional to 1,575.45, 2,363.78 and 480.13 is: 720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.45 : 2,363.78 = 480.13 : x
  2. Step 2: Convert to fraction form
    1,575.45/2,363.78 = 480.13/x
  3. Step 3: Cross multiply
    1,575.45x = 2,363.78 × 480.13
  4. Step 4: Simplify right side
    1,575.45x = 1,134,916.98
  5. Step 5: Solve for x
    x = 1,134,916.98/1,575.45
  6. Step 6: Final answer
    x = 720.38

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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.