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Finding the Fourth Proportional to 524.45, 786.68 and 343.00

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Solution

The fourth proportional to 524.45, 786.68 and 343.00 is: 514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.45 : 786.68 = 343.00 : x
  2. Step 2: Convert to fraction form
    524.45/786.68 = 343.00/x
  3. Step 3: Cross multiply
    524.45x = 786.68 × 343.00
  4. Step 4: Simplify right side
    524.45x = 269,830.13
  5. Step 5: Solve for x
    x = 269,830.13/524.45
  6. Step 6: Final answer
    x = 514.50

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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.