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Finding the Fourth Proportional to 524.65, 785.26 and 292.97

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Solution

The fourth proportional to 524.65, 785.26 and 292.97 is: 438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.65 : 785.26 = 292.97 : x
  2. Step 2: Convert to fraction form
    524.65/785.26 = 292.97/x
  3. Step 3: Cross multiply
    524.65x = 785.26 × 292.97
  4. Step 4: Simplify right side
    524.65x = 230,057.62
  5. Step 5: Solve for x
    x = 230,057.62/524.65
  6. Step 6: Final answer
    x = 438.50

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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.