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Finding the Fourth Proportional to 750.52, 1,035.23 and 563.71

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Solution

The fourth proportional to 750.52, 1,035.23 and 563.71 is: 777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.52 : 1,035.23 = 563.71 : x
  2. Step 2: Convert to fraction form
    750.52/1,035.23 = 563.71/x
  3. Step 3: Cross multiply
    750.52x = 1,035.23 × 563.71
  4. Step 4: Simplify right side
    750.52x = 583,569.21
  5. Step 5: Solve for x
    x = 583,569.21/750.52
  6. Step 6: Final answer
    x = 777.56

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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.