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Finding the Fourth Proportional to 913.64, 1,369.02 and 547.97

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Solution

The fourth proportional to 913.64, 1,369.02 and 547.97 is: 821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.64 : 1,369.02 = 547.97 : x
  2. Step 2: Convert to fraction form
    913.64/1,369.02 = 547.97/x
  3. Step 3: Cross multiply
    913.64x = 1,369.02 × 547.97
  4. Step 4: Simplify right side
    913.64x = 750,181.89
  5. Step 5: Solve for x
    x = 750,181.89/913.64
  6. Step 6: Final answer
    x = 821.09

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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.