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Finding the Fourth Proportional to 559.30, 772.14 and 428.56

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Solution

The fourth proportional to 559.30, 772.14 and 428.56 is: 591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.30 : 772.14 = 428.56 : x
  2. Step 2: Convert to fraction form
    559.30/772.14 = 428.56/x
  3. Step 3: Cross multiply
    559.30x = 772.14 × 428.56
  4. Step 4: Simplify right side
    559.30x = 330,908.32
  5. Step 5: Solve for x
    x = 330,908.32/559.30
  6. Step 6: Final answer
    x = 591.65

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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.