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Finding the Fourth Proportional to 517.72, 717.53 and 508.00

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Solution

The fourth proportional to 517.72, 717.53 and 508.00 is: 704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.72 : 717.53 = 508.00 : x
  2. Step 2: Convert to fraction form
    517.72/717.53 = 508.00/x
  3. Step 3: Cross multiply
    517.72x = 717.53 × 508.00
  4. Step 4: Simplify right side
    517.72x = 364,502.81
  5. Step 5: Solve for x
    x = 364,502.81/517.72
  6. Step 6: Final answer
    x = 704.06

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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.