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Finding the Fourth Proportional to 1,575.30, 2,363.20 and 479.41

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Solution

The fourth proportional to 1,575.30, 2,363.20 and 479.41 is: 719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.30 : 2,363.20 = 479.41 : x
  2. Step 2: Convert to fraction form
    1,575.30/2,363.20 = 479.41/x
  3. Step 3: Cross multiply
    1,575.30x = 2,363.20 × 479.41
  4. Step 4: Simplify right side
    1,575.30x = 1,132,941.71
  5. Step 5: Solve for x
    x = 1,132,941.71/1,575.30
  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.