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Finding the Fourth Proportional to 677.50, 934.98 and 415.47

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Solution

The fourth proportional to 677.50, 934.98 and 415.47 is: 573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.50 : 934.98 = 415.47 : x
  2. Step 2: Convert to fraction form
    677.50/934.98 = 415.47/x
  3. Step 3: Cross multiply
    677.50x = 934.98 × 415.47
  4. Step 4: Simplify right side
    677.50x = 388,456.14
  5. Step 5: Solve for x
    x = 388,456.14/677.50
  6. Step 6: Final answer
    x = 573.37

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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.