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Finding the Fourth Proportional to 763.90, 1,145.12 and 416.92

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Solution

The fourth proportional to 763.90, 1,145.12 and 416.92 is: 624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.90 : 1,145.12 = 416.92 : x
  2. Step 2: Convert to fraction form
    763.90/1,145.12 = 416.92/x
  3. Step 3: Cross multiply
    763.90x = 1,145.12 × 416.92
  4. Step 4: Simplify right side
    763.90x = 477,423.43
  5. Step 5: Solve for x
    x = 477,423.43/763.90
  6. Step 6: Final answer
    x = 624.98

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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.