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Finding the Fourth Proportional to 762.27, 1,052.10 and 541.29

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Solution

The fourth proportional to 762.27, 1,052.10 and 541.29 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.27 : 1,052.10 = 541.29 : x
  2. Step 2: Convert to fraction form
    762.27/1,052.10 = 541.29/x
  3. Step 3: Cross multiply
    762.27x = 1,052.10 × 541.29
  4. Step 4: Simplify right side
    762.27x = 569,485.95
  5. Step 5: Solve for x
    x = 569,485.95/762.27
  6. Step 6: Final answer
    x = 747.10

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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.