Home / 1,309.23-1,964.66-578.75

Finding the Fourth Proportional to 1,309.23, 1,964.66 and 578.75

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Solution

The fourth proportional to 1,309.23, 1,964.66 and 578.75 is: 868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.23 : 1,964.66 = 578.75 : x
  2. Step 2: Convert to fraction form
    1,309.23/1,964.66 = 578.75/x
  3. Step 3: Cross multiply
    1,309.23x = 1,964.66 × 578.75
  4. Step 4: Simplify right side
    1,309.23x = 1,137,034.26
  5. Step 5: Solve for x
    x = 1,137,034.26/1,309.23
  6. Step 6: Final answer
    x = 868.48

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1.5x scale

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.