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Finding the Fourth Proportional to 1,309.40, 1,963.99 and 578.98

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Solution

The fourth proportional to 1,309.40, 1,963.99 and 578.98 is: 868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.40 : 1,963.99 = 578.98 : x
  2. Step 2: Convert to fraction form
    1,309.40/1,963.99 = 578.98/x
  3. Step 3: Cross multiply
    1,309.40x = 1,963.99 × 578.98
  4. Step 4: Simplify right side
    1,309.40x = 1,137,110.93
  5. Step 5: Solve for x
    x = 1,137,110.93/1,309.40
  6. Step 6: Final answer
    x = 868.42

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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.