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Finding the Fourth Proportional to 517.71, 704.82 and 509.07

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Solution

The fourth proportional to 517.71, 704.82 and 509.07 is: 693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.71 : 704.82 = 509.07 : x
  2. Step 2: Convert to fraction form
    517.71/704.82 = 509.07/x
  3. Step 3: Cross multiply
    517.71x = 704.82 × 509.07
  4. Step 4: Simplify right side
    517.71x = 358,802.72
  5. Step 5: Solve for x
    x = 358,802.72/517.71
  6. Step 6: Final answer
    x = 693.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.