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Finding the Fourth Proportional to 765.08, 1,147.98 and 380.34

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Solution

The fourth proportional to 765.08, 1,147.98 and 380.34 is: 570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.08 : 1,147.98 = 380.34 : x
  2. Step 2: Convert to fraction form
    765.08/1,147.98 = 380.34/x
  3. Step 3: Cross multiply
    765.08x = 1,147.98 × 380.34
  4. Step 4: Simplify right side
    765.08x = 436,622.71
  5. Step 5: Solve for x
    x = 436,622.71/765.08
  6. Step 6: Final answer
    x = 570.69

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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.