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Finding the Fourth Proportional to 815.34, 1,215.74 and 800.76

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Solution

The fourth proportional to 815.34, 1,215.74 and 800.76 is: 1,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.34 : 1,215.74 = 800.76 : x
  2. Step 2: Convert to fraction form
    815.34/1,215.74 = 800.76/x
  3. Step 3: Cross multiply
    815.34x = 1,215.74 × 800.76
  4. Step 4: Simplify right side
    815.34x = 973,515.96
  5. Step 5: Solve for x
    x = 973,515.96/815.34
  6. Step 6: Final answer
    x = 1,194.00

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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.