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Finding the Fourth Proportional to 822.45, 1,230.49 and 524.98

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Solution

The fourth proportional to 822.45, 1,230.49 and 524.98 is: 785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.45 : 1,230.49 = 524.98 : x
  2. Step 2: Convert to fraction form
    822.45/1,230.49 = 524.98/x
  3. Step 3: Cross multiply
    822.45x = 1,230.49 × 524.98
  4. Step 4: Simplify right side
    822.45x = 645,984.83
  5. Step 5: Solve for x
    x = 645,984.83/822.45
  6. Step 6: Final answer
    x = 785.44

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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.