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Finding the Fourth Proportional to 1,575.73, 2,363.69 and 480.10

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Solution

The fourth proportional to 1,575.73, 2,363.69 and 480.10 is: 720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.73 : 2,363.69 = 480.10 : x
  2. Step 2: Convert to fraction form
    1,575.73/2,363.69 = 480.10/x
  3. Step 3: Cross multiply
    1,575.73x = 2,363.69 × 480.10
  4. Step 4: Simplify right side
    1,575.73x = 1,134,807.57
  5. Step 5: Solve for x
    x = 1,134,807.57/1,575.73
  6. Step 6: Final answer
    x = 720.18

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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.