Home / 1,026.28-1,539.44-478.18

Finding the Fourth Proportional to 1,026.28, 1,539.44 and 478.18

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Solution

The fourth proportional to 1,026.28, 1,539.44 and 478.18 is: 717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.28 : 1,539.44 = 478.18 : x
  2. Step 2: Convert to fraction form
    1,026.28/1,539.44 = 478.18/x
  3. Step 3: Cross multiply
    1,026.28x = 1,539.44 × 478.18
  4. Step 4: Simplify right side
    1,026.28x = 736,129.42
  5. Step 5: Solve for x
    x = 736,129.42/1,026.28
  6. Step 6: Final answer
    x = 717.28

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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.