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Finding the Fourth Proportional to 1,029.57, 1,420.82 and 563.82

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Solution

The fourth proportional to 1,029.57, 1,420.82 and 563.82 is: 778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.57 : 1,420.82 = 563.82 : x
  2. Step 2: Convert to fraction form
    1,029.57/1,420.82 = 563.82/x
  3. Step 3: Cross multiply
    1,029.57x = 1,420.82 × 563.82
  4. Step 4: Simplify right side
    1,029.57x = 801,083.91
  5. Step 5: Solve for x
    x = 801,083.91/1,029.57
  6. Step 6: Final answer
    x = 778.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.