Home / 1,520.27-2,280.20-643.11

Finding the Fourth Proportional to 1,520.27, 2,280.20 and 643.11

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Solution

The fourth proportional to 1,520.27, 2,280.20 and 643.11 is: 964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.27 : 2,280.20 = 643.11 : x
  2. Step 2: Convert to fraction form
    1,520.27/2,280.20 = 643.11/x
  3. Step 3: Cross multiply
    1,520.27x = 2,280.20 × 643.11
  4. Step 4: Simplify right side
    1,520.27x = 1,466,416.21
  5. Step 5: Solve for x
    x = 1,466,416.21/1,520.27
  6. Step 6: Final answer
    x = 964.58

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Why These Related Problems?

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