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Finding the Fourth Proportional to 704.08, 971.10 and 517.50

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Solution

The fourth proportional to 704.08, 971.10 and 517.50 is: 713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.08 : 971.10 = 517.50 : x
  2. Step 2: Convert to fraction form
    704.08/971.10 = 517.50/x
  3. Step 3: Cross multiply
    704.08x = 971.10 × 517.50
  4. Step 4: Simplify right side
    704.08x = 502,544.25
  5. Step 5: Solve for x
    x = 502,544.25/704.08
  6. Step 6: Final answer
    x = 713.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.