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Finding the Fourth Proportional to 750.28, 1,035.44 and 517

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Solution

The fourth proportional to 750.28, 1,035.44 and 517 is: 713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.28 : 1,035.44 = 517 : x
  2. Step 2: Convert to fraction form
    750.28/1,035.44 = 517/x
  3. Step 3: Cross multiply
    750.28x = 1,035.44 × 517
  4. Step 4: Simplify right side
    750.28x = 535,322.48
  5. Step 5: Solve for x
    x = 535,322.48/750.28
  6. Step 6: Final answer
    x = 713.50

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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.