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Finding the Fourth Proportional to 814.16, 1,215.19 and 716.96

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Solution

The fourth proportional to 814.16, 1,215.19 and 716.96 is: 1,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.16 : 1,215.19 = 716.96 : x
  2. Step 2: Convert to fraction form
    814.16/1,215.19 = 716.96/x
  3. Step 3: Cross multiply
    814.16x = 1,215.19 × 716.96
  4. Step 4: Simplify right side
    814.16x = 871,242.62
  5. Step 5: Solve for x
    x = 871,242.62/814.16
  6. Step 6: Final answer
    x = 1,070.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.