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Finding the Fourth Proportional to 677.30, 934.04 and 428.18

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Solution

The fourth proportional to 677.30, 934.04 and 428.18 is: 590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.30 : 934.04 = 428.18 : x
  2. Step 2: Convert to fraction form
    677.30/934.04 = 428.18/x
  3. Step 3: Cross multiply
    677.30x = 934.04 × 428.18
  4. Step 4: Simplify right side
    677.30x = 399,937.25
  5. Step 5: Solve for x
    x = 399,937.25/677.30
  6. Step 6: Final answer
    x = 590.49

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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.