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Finding the Fourth Proportional to 765.46, 1,057.30 and 665.67

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Solution

The fourth proportional to 765.46, 1,057.30 and 665.67 is: 919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.46 : 1,057.30 = 665.67 : x
  2. Step 2: Convert to fraction form
    765.46/1,057.30 = 665.67/x
  3. Step 3: Cross multiply
    765.46x = 1,057.30 × 665.67
  4. Step 4: Simplify right side
    765.46x = 703,815.19
  5. Step 5: Solve for x
    x = 703,815.19/765.46
  6. Step 6: Final answer
    x = 919.47

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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.