Home / 1,023.20-1,536.45-947.40

Finding the Fourth Proportional to 1,023.20, 1,536.45 and 947.40

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Solution

The fourth proportional to 1,023.20, 1,536.45 and 947.40 is: 1,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,536.45 = 947.40 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,536.45 = 947.40/x
  3. Step 3: Cross multiply
    1,023.20x = 1,536.45 × 947.40
  4. Step 4: Simplify right side
    1,023.20x = 1,455,632.73
  5. Step 5: Solve for x
    x = 1,455,632.73/1,023.20
  6. Step 6: Final answer
    x = 1,422.63

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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.