Home / 1,309.77-1,958.58-1,064.34

Finding the Fourth Proportional to 1,309.77, 1,958.58 and 1,064.34

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Solution

The fourth proportional to 1,309.77, 1,958.58 and 1,064.34 is: 1,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.77 : 1,958.58 = 1,064.34 : x
  2. Step 2: Convert to fraction form
    1,309.77/1,958.58 = 1,064.34/x
  3. Step 3: Cross multiply
    1,309.77x = 1,958.58 × 1,064.34
  4. Step 4: Simplify right side
    1,309.77x = 2,084,595.04
  5. Step 5: Solve for x
    x = 2,084,595.04/1,309.77
  6. Step 6: Final answer
    x = 1,591.57

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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.