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Finding the Fourth Proportional to 517.79, 711.64 and 503.21

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Solution

The fourth proportional to 517.79, 711.64 and 503.21 is: 691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.79 : 711.64 = 503.21 : x
  2. Step 2: Convert to fraction form
    517.79/711.64 = 503.21/x
  3. Step 3: Cross multiply
    517.79x = 711.64 × 503.21
  4. Step 4: Simplify right side
    517.79x = 358,103.94
  5. Step 5: Solve for x
    x = 358,103.94/517.79
  6. Step 6: Final answer
    x = 691.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.