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Finding the Fourth Proportional to 1,025.82, 1,539.41 and 478.04

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Solution

The fourth proportional to 1,025.82, 1,539.41 and 478.04 is: 717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.82 : 1,539.41 = 478.04 : x
  2. Step 2: Convert to fraction form
    1,025.82/1,539.41 = 478.04/x
  3. Step 3: Cross multiply
    1,025.82x = 1,539.41 × 478.04
  4. Step 4: Simplify right side
    1,025.82x = 735,889.47
  5. Step 5: Solve for x
    x = 735,889.47/1,025.82
  6. Step 6: Final answer
    x = 717.37

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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.