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Finding the Fourth Proportional to 539.65, 748.12 and 511.93

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Solution

The fourth proportional to 539.65, 748.12 and 511.93 is: 709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.65 : 748.12 = 511.93 : x
  2. Step 2: Convert to fraction form
    539.65/748.12 = 511.93/x
  3. Step 3: Cross multiply
    539.65x = 748.12 × 511.93
  4. Step 4: Simplify right side
    539.65x = 382,985.07
  5. Step 5: Solve for x
    x = 382,985.07/539.65
  6. Step 6: Final answer
    x = 709.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.