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Finding the Fourth Proportional to 768.63, 1,061.13 and 541.86

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Solution

The fourth proportional to 768.63, 1,061.13 and 541.86 is: 748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.63 : 1,061.13 = 541.86 : x
  2. Step 2: Convert to fraction form
    768.63/1,061.13 = 541.86/x
  3. Step 3: Cross multiply
    768.63x = 1,061.13 × 541.86
  4. Step 4: Simplify right side
    768.63x = 574,983.90
  5. Step 5: Solve for x
    x = 574,983.90/768.63
  6. Step 6: Final answer
    x = 748.06

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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.