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Finding the Fourth Proportional to 677.55, 934.71 and 415.52

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Solution

The fourth proportional to 677.55, 934.71 and 415.52 is: 573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.55 : 934.71 = 415.52 : x
  2. Step 2: Convert to fraction form
    677.55/934.71 = 415.52/x
  3. Step 3: Cross multiply
    677.55x = 934.71 × 415.52
  4. Step 4: Simplify right side
    677.55x = 388,390.70
  5. Step 5: Solve for x
    x = 388,390.70/677.55
  6. Step 6: Final answer
    x = 573.23

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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.