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Finding the Fourth Proportional to 650, 897.02 and 370.25

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Solution

The fourth proportional to 650, 897.02 and 370.25 is: 510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 897.02 = 370.25 : x
  2. Step 2: Convert to fraction form
    650/897.02 = 370.25/x
  3. Step 3: Cross multiply
    650x = 897.02 × 370.25
  4. Step 4: Simplify right side
    650x = 332,121.66
  5. Step 5: Solve for x
    x = 332,121.66/650
  6. Step 6: Final answer
    x = 510.96

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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.