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Finding the Fourth Proportional to 677.64, 934.74 and 428.53

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Solution

The fourth proportional to 677.64, 934.74 and 428.53 is: 591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.64 : 934.74 = 428.53 : x
  2. Step 2: Convert to fraction form
    677.64/934.74 = 428.53/x
  3. Step 3: Cross multiply
    677.64x = 934.74 × 428.53
  4. Step 4: Simplify right side
    677.64x = 400,559.46
  5. Step 5: Solve for x
    x = 400,559.46/677.64
  6. Step 6: Final answer
    x = 591.11

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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.