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Finding the Fourth Proportional to 677.01, 934.61 and 428.58

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Solution

The fourth proportional to 677.01, 934.61 and 428.58 is: 591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.01 : 934.61 = 428.58 : x
  2. Step 2: Convert to fraction form
    677.01/934.61 = 428.58/x
  3. Step 3: Cross multiply
    677.01x = 934.61 × 428.58
  4. Step 4: Simplify right side
    677.01x = 400,555.15
  5. Step 5: Solve for x
    x = 400,555.15/677.01
  6. Step 6: Final answer
    x = 591.65

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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.