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Finding the Fourth Proportional to 762.50, 1,049.56 and 552.33

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Solution

The fourth proportional to 762.50, 1,049.56 and 552.33 is: 760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.50 : 1,049.56 = 552.33 : x
  2. Step 2: Convert to fraction form
    762.50/1,049.56 = 552.33/x
  3. Step 3: Cross multiply
    762.50x = 1,049.56 × 552.33
  4. Step 4: Simplify right side
    762.50x = 579,703.47
  5. Step 5: Solve for x
    x = 579,703.47/762.50
  6. Step 6: Final answer
    x = 760.27

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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.