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Finding the Fourth Proportional to 650.18, 897.12 and 440.52

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Solution

The fourth proportional to 650.18, 897.12 and 440.52 is: 607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.18 : 897.12 = 440.52 : x
  2. Step 2: Convert to fraction form
    650.18/897.12 = 440.52/x
  3. Step 3: Cross multiply
    650.18x = 897.12 × 440.52
  4. Step 4: Simplify right side
    650.18x = 395,199.30
  5. Step 5: Solve for x
    x = 395,199.30/650.18
  6. Step 6: Final answer
    x = 607.84

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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.