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Finding the Fourth Proportional to 740.33, 1,021.07 and 552.71

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Solution

The fourth proportional to 740.33, 1,021.07 and 552.71 is: 762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.33 : 1,021.07 = 552.71 : x
  2. Step 2: Convert to fraction form
    740.33/1,021.07 = 552.71/x
  3. Step 3: Cross multiply
    740.33x = 1,021.07 × 552.71
  4. Step 4: Simplify right side
    740.33x = 564,355.60
  5. Step 5: Solve for x
    x = 564,355.60/740.33
  6. Step 6: Final answer
    x = 762.30

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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.