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Finding the Fourth Proportional to 524.66, 785.30 and 475.43

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Solution

The fourth proportional to 524.66, 785.30 and 475.43 is: 711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.66 : 785.30 = 475.43 : x
  2. Step 2: Convert to fraction form
    524.66/785.30 = 475.43/x
  3. Step 3: Cross multiply
    524.66x = 785.30 × 475.43
  4. Step 4: Simplify right side
    524.66x = 373,348.88
  5. Step 5: Solve for x
    x = 373,348.88/524.66
  6. Step 6: Final answer
    x = 711.61

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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.