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Finding the Fourth Proportional to 468.75, 698.97 and 435.27

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Solution

The fourth proportional to 468.75, 698.97 and 435.27 is: 649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.75 : 698.97 = 435.27 : x
  2. Step 2: Convert to fraction form
    468.75/698.97 = 435.27/x
  3. Step 3: Cross multiply
    468.75x = 698.97 × 435.27
  4. Step 4: Simplify right side
    468.75x = 304,240.67
  5. Step 5: Solve for x
    x = 304,240.67/468.75
  6. Step 6: Final answer
    x = 649.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.