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Finding the Fourth Proportional to 468.75, 704.66 and 434.94

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Solution

The fourth proportional to 468.75, 704.66 and 434.94 is: 653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.75 : 704.66 = 434.94 : x
  2. Step 2: Convert to fraction form
    468.75/704.66 = 434.94/x
  3. Step 3: Cross multiply
    468.75x = 704.66 × 434.94
  4. Step 4: Simplify right side
    468.75x = 306,482.65
  5. Step 5: Solve for x
    x = 306,482.65/468.75
  6. Step 6: Final answer
    x = 653.83

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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.