Home / 1,023.56-1,411.20-743.60

Finding the Fourth Proportional to 1,023.56, 1,411.20 and 743.60

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Solution

The fourth proportional to 1,023.56, 1,411.20 and 743.60 is: 1,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.56 : 1,411.20 = 743.60 : x
  2. Step 2: Convert to fraction form
    1,023.56/1,411.20 = 743.60/x
  3. Step 3: Cross multiply
    1,023.56x = 1,411.20 × 743.60
  4. Step 4: Simplify right side
    1,023.56x = 1,049,368.32
  5. Step 5: Solve for x
    x = 1,049,368.32/1,023.56
  6. Step 6: Final answer
    x = 1,025.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.