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Finding the Fourth Proportional to 677.07, 934.61 and 529.11

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Solution

The fourth proportional to 677.07, 934.61 and 529.11 is: 730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.07 : 934.61 = 529.11 : x
  2. Step 2: Convert to fraction form
    677.07/934.61 = 529.11/x
  3. Step 3: Cross multiply
    677.07x = 934.61 × 529.11
  4. Step 4: Simplify right side
    677.07x = 494,508.85
  5. Step 5: Solve for x
    x = 494,508.85/677.07
  6. Step 6: Final answer
    x = 730.37

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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.