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Finding the Fourth Proportional to 1,575.20, 2,362.86 and 479.45

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Solution

The fourth proportional to 1,575.20, 2,362.86 and 479.45 is: 719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.20 : 2,362.86 = 479.45 : x
  2. Step 2: Convert to fraction form
    1,575.20/2,362.86 = 479.45/x
  3. Step 3: Cross multiply
    1,575.20x = 2,362.86 × 479.45
  4. Step 4: Simplify right side
    1,575.20x = 1,132,861.41
  5. Step 5: Solve for x
    x = 1,132,861.41/1,575.20
  6. Step 6: Final answer
    x = 719.19

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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.