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Finding the Fourth Proportional to 765.32, 1,147.27 and 399.67

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Solution

The fourth proportional to 765.32, 1,147.27 and 399.67 is: 599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.32 : 1,147.27 = 399.67 : x
  2. Step 2: Convert to fraction form
    765.32/1,147.27 = 399.67/x
  3. Step 3: Cross multiply
    765.32x = 1,147.27 × 399.67
  4. Step 4: Simplify right side
    765.32x = 458,529.40
  5. Step 5: Solve for x
    x = 458,529.40/765.32
  6. Step 6: Final answer
    x = 599.13

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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.