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Finding the Fourth Proportional to 1,029.58, 1,420.75 and 563.83

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Solution

The fourth proportional to 1,029.58, 1,420.75 and 563.83 is: 778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.58 : 1,420.75 = 563.83 : x
  2. Step 2: Convert to fraction form
    1,029.58/1,420.75 = 563.83/x
  3. Step 3: Cross multiply
    1,029.58x = 1,420.75 × 563.83
  4. Step 4: Simplify right side
    1,029.58x = 801,061.47
  5. Step 5: Solve for x
    x = 801,061.47/1,029.58
  6. Step 6: Final answer
    x = 778.05

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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.