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Finding the Fourth Proportional to 677.43, 932.72 and 612.63

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Solution

The fourth proportional to 677.43, 932.72 and 612.63 is: 843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.43 : 932.72 = 612.63 : x
  2. Step 2: Convert to fraction form
    677.43/932.72 = 612.63/x
  3. Step 3: Cross multiply
    677.43x = 932.72 × 612.63
  4. Step 4: Simplify right side
    677.43x = 571,409.19
  5. Step 5: Solve for x
    x = 571,409.19/677.43
  6. Step 6: Final answer
    x = 843.50

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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.