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Finding the Fourth Proportional to 704.08, 971.31 and 556.48

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Solution

The fourth proportional to 704.08, 971.31 and 556.48 is: 767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.08 : 971.31 = 556.48 : x
  2. Step 2: Convert to fraction form
    704.08/971.31 = 556.48/x
  3. Step 3: Cross multiply
    704.08x = 971.31 × 556.48
  4. Step 4: Simplify right side
    704.08x = 540,514.59
  5. Step 5: Solve for x
    x = 540,514.59/704.08
  6. Step 6: Final answer
    x = 767.69

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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.