Home / 1,025.16-1,538.28-477.20

Finding the Fourth Proportional to 1,025.16, 1,538.28 and 477.20

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Solution

The fourth proportional to 1,025.16, 1,538.28 and 477.20 is: 716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.16 : 1,538.28 = 477.20 : x
  2. Step 2: Convert to fraction form
    1,025.16/1,538.28 = 477.20/x
  3. Step 3: Cross multiply
    1,025.16x = 1,538.28 × 477.20
  4. Step 4: Simplify right side
    1,025.16x = 734,067.22
  5. Step 5: Solve for x
    x = 734,067.22/1,025.16
  6. Step 6: Final answer
    x = 716.05

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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.