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Finding the Fourth Proportional to 1,281.02, 1,922.10 and 622.53

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Solution

The fourth proportional to 1,281.02, 1,922.10 and 622.53 is: 934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.02 : 1,922.10 = 622.53 : x
  2. Step 2: Convert to fraction form
    1,281.02/1,922.10 = 622.53/x
  3. Step 3: Cross multiply
    1,281.02x = 1,922.10 × 622.53
  4. Step 4: Simplify right side
    1,281.02x = 1,196,561.80
  5. Step 5: Solve for x
    x = 1,196,561.80/1,281.02
  6. Step 6: Final answer
    x = 934.07

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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.