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Finding the Fourth Proportional to 1,309.30, 1,964.19 and 578.90

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Solution

The fourth proportional to 1,309.30, 1,964.19 and 578.90 is: 868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.30 : 1,964.19 = 578.90 : x
  2. Step 2: Convert to fraction form
    1,309.30/1,964.19 = 578.90/x
  3. Step 3: Cross multiply
    1,309.30x = 1,964.19 × 578.90
  4. Step 4: Simplify right side
    1,309.30x = 1,137,069.59
  5. Step 5: Solve for x
    x = 1,137,069.59/1,309.30
  6. Step 6: Final answer
    x = 868.46

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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.