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Finding the Fourth Proportional to 661.28, 912.24 and 474.80

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Solution

The fourth proportional to 661.28, 912.24 and 474.80 is: 654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.28 : 912.24 = 474.80 : x
  2. Step 2: Convert to fraction form
    661.28/912.24 = 474.80/x
  3. Step 3: Cross multiply
    661.28x = 912.24 × 474.80
  4. Step 4: Simplify right side
    661.28x = 433,131.55
  5. Step 5: Solve for x
    x = 433,131.55/661.28
  6. Step 6: Final answer
    x = 654.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.