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Finding the Fourth Proportional to 740.90, 1,021.16 and 541.41

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Solution

The fourth proportional to 740.90, 1,021.16 and 541.41 is: 746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.90 : 1,021.16 = 541.41 : x
  2. Step 2: Convert to fraction form
    740.90/1,021.16 = 541.41/x
  3. Step 3: Cross multiply
    740.90x = 1,021.16 × 541.41
  4. Step 4: Simplify right side
    740.90x = 552,863.68
  5. Step 5: Solve for x
    x = 552,863.68/740.90
  6. Step 6: Final answer
    x = 746.20

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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.