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Finding the Fourth Proportional to 677.04, 934.38 and 415.32

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Solution

The fourth proportional to 677.04, 934.38 and 415.32 is: 573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.04 : 934.38 = 415.32 : x
  2. Step 2: Convert to fraction form
    677.04/934.38 = 415.32/x
  3. Step 3: Cross multiply
    677.04x = 934.38 × 415.32
  4. Step 4: Simplify right side
    677.04x = 388,066.70
  5. Step 5: Solve for x
    x = 388,066.70/677.04
  6. Step 6: Final answer
    x = 573.18

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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.