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Finding the Fourth Proportional to 1,578.63, 2,363.07 and 1,029.63

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Solution

The fourth proportional to 1,578.63, 2,363.07 and 1,029.63 is: 1,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.63 : 2,363.07 = 1,029.63 : x
  2. Step 2: Convert to fraction form
    1,578.63/2,363.07 = 1,029.63/x
  3. Step 3: Cross multiply
    1,578.63x = 2,363.07 × 1,029.63
  4. Step 4: Simplify right side
    1,578.63x = 2,433,082.62
  5. Step 5: Solve for x
    x = 2,433,082.62/1,578.63
  6. Step 6: Final answer
    x = 1,541.26

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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.