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Finding the Fourth Proportional to 743.50, 1,116.45 and 622.66

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Solution

The fourth proportional to 743.50, 1,116.45 and 622.66 is: 934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.50 : 1,116.45 = 622.66 : x
  2. Step 2: Convert to fraction form
    743.50/1,116.45 = 622.66/x
  3. Step 3: Cross multiply
    743.50x = 1,116.45 × 622.66
  4. Step 4: Simplify right side
    743.50x = 695,168.76
  5. Step 5: Solve for x
    x = 695,168.76/743.50
  6. Step 6: Final answer
    x = 934.99

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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.