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Finding the Fourth Proportional to 799.95, 1,103.13 and 711.15

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Solution

The fourth proportional to 799.95, 1,103.13 and 711.15 is: 980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.95 : 1,103.13 = 711.15 : x
  2. Step 2: Convert to fraction form
    799.95/1,103.13 = 711.15/x
  3. Step 3: Cross multiply
    799.95x = 1,103.13 × 711.15
  4. Step 4: Simplify right side
    799.95x = 784,490.90
  5. Step 5: Solve for x
    x = 784,490.90/799.95
  6. Step 6: Final answer
    x = 980.67

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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.