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Finding the Fourth Proportional to 763.40, 1,145.30 and 352.84

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Solution

The fourth proportional to 763.40, 1,145.30 and 352.84 is: 529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.40 : 1,145.30 = 352.84 : x
  2. Step 2: Convert to fraction form
    763.40/1,145.30 = 352.84/x
  3. Step 3: Cross multiply
    763.40x = 1,145.30 × 352.84
  4. Step 4: Simplify right side
    763.40x = 404,107.65
  5. Step 5: Solve for x
    x = 404,107.65/763.40
  6. Step 6: Final answer
    x = 529.35

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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.