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Finding the Fourth Proportional to 524.55, 782.46 and 514.83

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Solution

The fourth proportional to 524.55, 782.46 and 514.83 is: 767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.55 : 782.46 = 514.83 : x
  2. Step 2: Convert to fraction form
    524.55/782.46 = 514.83/x
  3. Step 3: Cross multiply
    524.55x = 782.46 × 514.83
  4. Step 4: Simplify right side
    524.55x = 402,833.88
  5. Step 5: Solve for x
    x = 402,833.88/524.55
  6. Step 6: Final answer
    x = 767.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.