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Finding the Fourth Proportional to 517.82, 717.75 and 510.12

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Solution

The fourth proportional to 517.82, 717.75 and 510.12 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.82 : 717.75 = 510.12 : x
  2. Step 2: Convert to fraction form
    517.82/717.75 = 510.12/x
  3. Step 3: Cross multiply
    517.82x = 717.75 × 510.12
  4. Step 4: Simplify right side
    517.82x = 366,138.63
  5. Step 5: Solve for x
    x = 366,138.63/517.82
  6. Step 6: Final answer
    x = 707.08

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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.