Home / 1,026.20-1,540.10-478.45

Finding the Fourth Proportional to 1,026.20, 1,540.10 and 478.45

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Solution

The fourth proportional to 1,026.20, 1,540.10 and 478.45 is: 718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.20 : 1,540.10 = 478.45 : x
  2. Step 2: Convert to fraction form
    1,026.20/1,540.10 = 478.45/x
  3. Step 3: Cross multiply
    1,026.20x = 1,540.10 × 478.45
  4. Step 4: Simplify right side
    1,026.20x = 736,860.85
  5. Step 5: Solve for x
    x = 736,860.85/1,026.20
  6. Step 6: Final answer
    x = 718.05

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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.