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Finding the Fourth Proportional to 468.98, 705.09 and 433.34

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Solution

The fourth proportional to 468.98, 705.09 and 433.34 is: 651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.98 : 705.09 = 433.34 : x
  2. Step 2: Convert to fraction form
    468.98/705.09 = 433.34/x
  3. Step 3: Cross multiply
    468.98x = 705.09 × 433.34
  4. Step 4: Simplify right side
    468.98x = 305,543.70
  5. Step 5: Solve for x
    x = 305,543.70/468.98
  6. Step 6: Final answer
    x = 651.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.