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Finding the Fourth Proportional to 800.34, 1,199.64 and 526.62

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Solution

The fourth proportional to 800.34, 1,199.64 and 526.62 is: 789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.34 : 1,199.64 = 526.62 : x
  2. Step 2: Convert to fraction form
    800.34/1,199.64 = 526.62/x
  3. Step 3: Cross multiply
    800.34x = 1,199.64 × 526.62
  4. Step 4: Simplify right side
    800.34x = 631,754.42
  5. Step 5: Solve for x
    x = 631,754.42/800.34
  6. Step 6: Final answer
    x = 789.36

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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.