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Finding the Fourth Proportional to 743.40, 1,023.66 and 612.18

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Solution

The fourth proportional to 743.40, 1,023.66 and 612.18 is: 842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.40 : 1,023.66 = 612.18 : x
  2. Step 2: Convert to fraction form
    743.40/1,023.66 = 612.18/x
  3. Step 3: Cross multiply
    743.40x = 1,023.66 × 612.18
  4. Step 4: Simplify right side
    743.40x = 626,664.18
  5. Step 5: Solve for x
    x = 626,664.18/743.40
  6. Step 6: Final answer
    x = 842.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.