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Finding the Fourth Proportional to 677.36, 934.28 and 415.38

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Solution

The fourth proportional to 677.36, 934.28 and 415.38 is: 572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.36 : 934.28 = 415.38 : x
  2. Step 2: Convert to fraction form
    677.36/934.28 = 415.38/x
  3. Step 3: Cross multiply
    677.36x = 934.28 × 415.38
  4. Step 4: Simplify right side
    677.36x = 388,081.29
  5. Step 5: Solve for x
    x = 388,081.29/677.36
  6. Step 6: Final answer
    x = 572.93

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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.