Home / 1,023.11-1,534.51-406.60

Finding the Fourth Proportional to 1,023.11, 1,534.51 and 406.60

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Solution

The fourth proportional to 1,023.11, 1,534.51 and 406.60 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.11 : 1,534.51 = 406.60 : x
  2. Step 2: Convert to fraction form
    1,023.11/1,534.51 = 406.60/x
  3. Step 3: Cross multiply
    1,023.11x = 1,534.51 × 406.60
  4. Step 4: Simplify right side
    1,023.11x = 623,926.91
  5. Step 5: Solve for x
    x = 623,926.91/1,023.11
  6. Step 6: Final answer
    x = 609.83

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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.