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Finding the Fourth Proportional to 1,575.64, 2,363.96 and 480.11

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Solution

The fourth proportional to 1,575.64, 2,363.96 and 480.11 is: 720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.64 : 2,363.96 = 480.11 : x
  2. Step 2: Convert to fraction form
    1,575.64/2,363.96 = 480.11/x
  3. Step 3: Cross multiply
    1,575.64x = 2,363.96 × 480.11
  4. Step 4: Simplify right side
    1,575.64x = 1,134,967.95
  5. Step 5: Solve for x
    x = 1,134,967.95/1,575.64
  6. Step 6: Final answer
    x = 720.32

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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.