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Finding the Fourth Proportional to 708.72, 976.68 and 501.36

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Solution

The fourth proportional to 708.72, 976.68 and 501.36 is: 690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.72 : 976.68 = 501.36 : x
  2. Step 2: Convert to fraction form
    708.72/976.68 = 501.36/x
  3. Step 3: Cross multiply
    708.72x = 976.68 × 501.36
  4. Step 4: Simplify right side
    708.72x = 489,668.28
  5. Step 5: Solve for x
    x = 489,668.28/708.72
  6. Step 6: Final answer
    x = 690.92

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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.