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Finding the Fourth Proportional to 650.08, 897.39 and 428.65

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Solution

The fourth proportional to 650.08, 897.39 and 428.65 is: 591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.08 : 897.39 = 428.65 : x
  2. Step 2: Convert to fraction form
    650.08/897.39 = 428.65/x
  3. Step 3: Cross multiply
    650.08x = 897.39 × 428.65
  4. Step 4: Simplify right side
    650.08x = 384,666.22
  5. Step 5: Solve for x
    x = 384,666.22/650.08
  6. Step 6: Final answer
    x = 591.72

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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.