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Finding the Fourth Proportional to 474.48, 708.78 and 450.80

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Solution

The fourth proportional to 474.48, 708.78 and 450.80 is: 673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.48 : 708.78 = 450.80 : x
  2. Step 2: Convert to fraction form
    474.48/708.78 = 450.80/x
  3. Step 3: Cross multiply
    474.48x = 708.78 × 450.80
  4. Step 4: Simplify right side
    474.48x = 319,518.02
  5. Step 5: Solve for x
    x = 319,518.02/474.48
  6. Step 6: Final answer
    x = 673.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.