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Finding the Fourth Proportional to 474.24, 708.60 and 328.80

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Solution

The fourth proportional to 474.24, 708.60 and 328.80 is: 491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 708.60 = 328.80 : x
  2. Step 2: Convert to fraction form
    474.24/708.60 = 328.80/x
  3. Step 3: Cross multiply
    474.24x = 708.60 × 328.80
  4. Step 4: Simplify right side
    474.24x = 232,987.68
  5. Step 5: Solve for x
    x = 232,987.68/474.24
  6. Step 6: Final answer
    x = 491.29

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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.