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Finding the Fourth Proportional to 1,578.80, 2,368.44 and 756.92

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Solution

The fourth proportional to 1,578.80, 2,368.44 and 756.92 is: 1,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.80 : 2,368.44 = 756.92 : x
  2. Step 2: Convert to fraction form
    1,578.80/2,368.44 = 756.92/x
  3. Step 3: Cross multiply
    1,578.80x = 2,368.44 × 756.92
  4. Step 4: Simplify right side
    1,578.80x = 1,792,725.53
  5. Step 5: Solve for x
    x = 1,792,725.53/1,578.80
  6. Step 6: Final answer
    x = 1,135.50

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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.