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Finding the Fourth Proportional to 704.10, 970.64 and 517.26

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Solution

The fourth proportional to 704.10, 970.64 and 517.26 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 970.64 = 517.26 : x
  2. Step 2: Convert to fraction form
    704.10/970.64 = 517.26/x
  3. Step 3: Cross multiply
    704.10x = 970.64 × 517.26
  4. Step 4: Simplify right side
    704.10x = 502,073.25
  5. Step 5: Solve for x
    x = 502,073.25/704.10
  6. Step 6: Final answer
    x = 713.07

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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.