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Finding the Fourth Proportional to 763.04, 1,141.78 and 455.04

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Solution

The fourth proportional to 763.04, 1,141.78 and 455.04 is: 680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.04 : 1,141.78 = 455.04 : x
  2. Step 2: Convert to fraction form
    763.04/1,141.78 = 455.04/x
  3. Step 3: Cross multiply
    763.04x = 1,141.78 × 455.04
  4. Step 4: Simplify right side
    763.04x = 519,555.57
  5. Step 5: Solve for x
    x = 519,555.57/763.04
  6. Step 6: Final answer
    x = 680.90

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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.