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Finding the Fourth Proportional to 815.72, 1,125.72 and 484.10

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Solution

The fourth proportional to 815.72, 1,125.72 and 484.10 is: 668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.72 : 1,125.72 = 484.10 : x
  2. Step 2: Convert to fraction form
    815.72/1,125.72 = 484.10/x
  3. Step 3: Cross multiply
    815.72x = 1,125.72 × 484.10
  4. Step 4: Simplify right side
    815.72x = 544,961.05
  5. Step 5: Solve for x
    x = 544,961.05/815.72
  6. Step 6: Final answer
    x = 668.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.