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Finding the Fourth Proportional to 704.24, 971.30 and 657.08

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Solution

The fourth proportional to 704.24, 971.30 and 657.08 is: 906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.24 : 971.30 = 657.08 : x
  2. Step 2: Convert to fraction form
    704.24/971.30 = 657.08/x
  3. Step 3: Cross multiply
    704.24x = 971.30 × 657.08
  4. Step 4: Simplify right side
    704.24x = 638,221.80
  5. Step 5: Solve for x
    x = 638,221.80/704.24
  6. Step 6: Final answer
    x = 906.26

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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.