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Finding the Fourth Proportional to 707.52, 976.56 and 486.36

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Solution

The fourth proportional to 707.52, 976.56 and 486.36 is: 671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.52 : 976.56 = 486.36 : x
  2. Step 2: Convert to fraction form
    707.52/976.56 = 486.36/x
  3. Step 3: Cross multiply
    707.52x = 976.56 × 486.36
  4. Step 4: Simplify right side
    707.52x = 474,959.72
  5. Step 5: Solve for x
    x = 474,959.72/707.52
  6. Step 6: Final answer
    x = 671.30

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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.