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Finding the Fourth Proportional to 474.76, 654.42 and 448.84

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Solution

The fourth proportional to 474.76, 654.42 and 448.84 is: 618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.76 : 654.42 = 448.84 : x
  2. Step 2: Convert to fraction form
    474.76/654.42 = 448.84/x
  3. Step 3: Cross multiply
    474.76x = 654.42 × 448.84
  4. Step 4: Simplify right side
    474.76x = 293,729.87
  5. Step 5: Solve for x
    x = 293,729.87/474.76
  6. Step 6: Final answer
    x = 618.69

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Find fourth proportional to 237.38, 327.21 and 224.42
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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.