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Finding the Fourth Proportional to 763.46, 1,145.36 and 243.46

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Solution

The fourth proportional to 763.46, 1,145.36 and 243.46 is: 365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.46 : 1,145.36 = 243.46 : x
  2. Step 2: Convert to fraction form
    763.46/1,145.36 = 243.46/x
  3. Step 3: Cross multiply
    763.46x = 1,145.36 × 243.46
  4. Step 4: Simplify right side
    763.46x = 278,849.35
  5. Step 5: Solve for x
    x = 278,849.35/763.46
  6. Step 6: Final answer
    x = 365.24

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1.5x scale

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.