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Finding the Fourth Proportional to 849.02, 1,272.31 and 524.21

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Solution

The fourth proportional to 849.02, 1,272.31 and 524.21 is: 785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.02 : 1,272.31 = 524.21 : x
  2. Step 2: Convert to fraction form
    849.02/1,272.31 = 524.21/x
  3. Step 3: Cross multiply
    849.02x = 1,272.31 × 524.21
  4. Step 4: Simplify right side
    849.02x = 666,949.95
  5. Step 5: Solve for x
    x = 666,949.95/849.02
  6. Step 6: Final answer
    x = 785.56

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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.