Home / 1,025.12-1,533.90-563.36

Finding the Fourth Proportional to 1,025.12, 1,533.90 and 563.36

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Solution

The fourth proportional to 1,025.12, 1,533.90 and 563.36 is: 842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.12 : 1,533.90 = 563.36 : x
  2. Step 2: Convert to fraction form
    1,025.12/1,533.90 = 563.36/x
  3. Step 3: Cross multiply
    1,025.12x = 1,533.90 × 563.36
  4. Step 4: Simplify right side
    1,025.12x = 864,132.35
  5. Step 5: Solve for x
    x = 864,132.35/1,025.12
  6. Step 6: Final answer
    x = 842.96

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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.