Home / 1,309.16-1,964.01-431.73

Finding the Fourth Proportional to 1,309.16, 1,964.01 and 431.73

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Solution

The fourth proportional to 1,309.16, 1,964.01 and 431.73 is: 647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.16 : 1,964.01 = 431.73 : x
  2. Step 2: Convert to fraction form
    1,309.16/1,964.01 = 431.73/x
  3. Step 3: Cross multiply
    1,309.16x = 1,964.01 × 431.73
  4. Step 4: Simplify right side
    1,309.16x = 847,922.04
  5. Step 5: Solve for x
    x = 847,922.04/1,309.16
  6. Step 6: Final answer
    x = 647.69

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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.