Home / 1,023.24-1,410.47-938.50

Finding the Fourth Proportional to 1,023.24, 1,410.47 and 938.50

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Solution

The fourth proportional to 1,023.24, 1,410.47 and 938.50 is: 1,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.24 : 1,410.47 = 938.50 : x
  2. Step 2: Convert to fraction form
    1,023.24/1,410.47 = 938.50/x
  3. Step 3: Cross multiply
    1,023.24x = 1,410.47 × 938.50
  4. Step 4: Simplify right side
    1,023.24x = 1,323,717.88
  5. Step 5: Solve for x
    x = 1,323,717.88/1,023.24
  6. Step 6: Final answer
    x = 1,293.65

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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.