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Finding the Fourth Proportional to 799.95, 1,199.10 and 580.04

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Solution

The fourth proportional to 799.95, 1,199.10 and 580.04 is: 869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.95 : 1,199.10 = 580.04 : x
  2. Step 2: Convert to fraction form
    799.95/1,199.10 = 580.04/x
  3. Step 3: Cross multiply
    799.95x = 1,199.10 × 580.04
  4. Step 4: Simplify right side
    799.95x = 695,525.96
  5. Step 5: Solve for x
    x = 695,525.96/799.95
  6. Step 6: Final answer
    x = 869.46

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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.