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Finding the Fourth Proportional to 817.43, 1,225.36 and 524.11

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Solution

The fourth proportional to 817.43, 1,225.36 and 524.11 is: 785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.43 : 1,225.36 = 524.11 : x
  2. Step 2: Convert to fraction form
    817.43/1,225.36 = 524.11/x
  3. Step 3: Cross multiply
    817.43x = 1,225.36 × 524.11
  4. Step 4: Simplify right side
    817.43x = 642,223.43
  5. Step 5: Solve for x
    x = 642,223.43/817.43
  6. Step 6: Final answer
    x = 785.66

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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.