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Finding the Fourth Proportional to 1,281.27, 1,921.03 and 459.53

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Solution

The fourth proportional to 1,281.27, 1,921.03 and 459.53 is: 688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.27 : 1,921.03 = 459.53 : x
  2. Step 2: Convert to fraction form
    1,281.27/1,921.03 = 459.53/x
  3. Step 3: Cross multiply
    1,281.27x = 1,921.03 × 459.53
  4. Step 4: Simplify right side
    1,281.27x = 882,759.01
  5. Step 5: Solve for x
    x = 882,759.01/1,281.27
  6. Step 6: Final answer
    x = 688.97

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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.