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Finding the Fourth Proportional to 1,029.52, 1,420.70 and 563.76

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Solution

The fourth proportional to 1,029.52, 1,420.70 and 563.76 is: 777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.52 : 1,420.70 = 563.76 : x
  2. Step 2: Convert to fraction form
    1,029.52/1,420.70 = 563.76/x
  3. Step 3: Cross multiply
    1,029.52x = 1,420.70 × 563.76
  4. Step 4: Simplify right side
    1,029.52x = 800,933.83
  5. Step 5: Solve for x
    x = 800,933.83/1,029.52
  6. Step 6: Final answer
    x = 777.97

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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.