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Finding the Fourth Proportional to 880.28, 1,320.30 and 393.21

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Solution

The fourth proportional to 880.28, 1,320.30 and 393.21 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.28 : 1,320.30 = 393.21 : x
  2. Step 2: Convert to fraction form
    880.28/1,320.30 = 393.21/x
  3. Step 3: Cross multiply
    880.28x = 1,320.30 × 393.21
  4. Step 4: Simplify right side
    880.28x = 519,155.16
  5. Step 5: Solve for x
    x = 519,155.16/880.28
  6. Step 6: Final answer
    x = 589.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.