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Finding the Fourth Proportional to 1,035.57, 1,429.09 and 563.47

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Solution

The fourth proportional to 1,035.57, 1,429.09 and 563.47 is: 777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.57 : 1,429.09 = 563.47 : x
  2. Step 2: Convert to fraction form
    1,035.57/1,429.09 = 563.47/x
  3. Step 3: Cross multiply
    1,035.57x = 1,429.09 × 563.47
  4. Step 4: Simplify right side
    1,035.57x = 805,243.55
  5. Step 5: Solve for x
    x = 805,243.55/1,035.57
  6. Step 6: Final answer
    x = 777.58

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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.