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Finding the Fourth Proportional to 677.44, 934.56 and 415.68

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Solution

The fourth proportional to 677.44, 934.56 and 415.68 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 934.56 = 415.68 : x
  2. Step 2: Convert to fraction form
    677.44/934.56 = 415.68/x
  3. Step 3: Cross multiply
    677.44x = 934.56 × 415.68
  4. Step 4: Simplify right side
    677.44x = 388,477.90
  5. Step 5: Solve for x
    x = 388,477.90/677.44
  6. Step 6: Final answer
    x = 573.45

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1.5x scale

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.