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Finding the Fourth Proportional to 1,302.72, 1,954.53 and 815.19

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Solution

The fourth proportional to 1,302.72, 1,954.53 and 815.19 is: 1,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.72 : 1,954.53 = 815.19 : x
  2. Step 2: Convert to fraction form
    1,302.72/1,954.53 = 815.19/x
  3. Step 3: Cross multiply
    1,302.72x = 1,954.53 × 815.19
  4. Step 4: Simplify right side
    1,302.72x = 1,593,313.31
  5. Step 5: Solve for x
    x = 1,593,313.31/1,302.72
  6. Step 6: Final answer
    x = 1,223.07

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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.