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Finding the Fourth Proportional to 524.20, 785.09 and 304.28

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Solution

The fourth proportional to 524.20, 785.09 and 304.28 is: 455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.20 : 785.09 = 304.28 : x
  2. Step 2: Convert to fraction form
    524.20/785.09 = 304.28/x
  3. Step 3: Cross multiply
    524.20x = 785.09 × 304.28
  4. Step 4: Simplify right side
    524.20x = 238,881.74
  5. Step 5: Solve for x
    x = 238,881.74/524.20
  6. Step 6: Final answer
    x = 455.71

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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.