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Finding the Fourth Proportional to 708.92, 976.08 and 603.80

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Solution

The fourth proportional to 708.92, 976.08 and 603.80 is: 831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.92 : 976.08 = 603.80 : x
  2. Step 2: Convert to fraction form
    708.92/976.08 = 603.80/x
  3. Step 3: Cross multiply
    708.92x = 976.08 × 603.80
  4. Step 4: Simplify right side
    708.92x = 589,357.10
  5. Step 5: Solve for x
    x = 589,357.10/708.92
  6. Step 6: Final answer
    x = 831.35

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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.