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Finding the Fourth Proportional to 740.30, 1,020.92 and 540.81

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Solution

The fourth proportional to 740.30, 1,020.92 and 540.81 is: 745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.30 : 1,020.92 = 540.81 : x
  2. Step 2: Convert to fraction form
    740.30/1,020.92 = 540.81/x
  3. Step 3: Cross multiply
    740.30x = 1,020.92 × 540.81
  4. Step 4: Simplify right side
    740.30x = 552,123.75
  5. Step 5: Solve for x
    x = 552,123.75/740.30
  6. Step 6: Final answer
    x = 745.81

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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.