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Finding the Fourth Proportional to 879.06, 1,213.20 and 524.91

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Solution

The fourth proportional to 879.06, 1,213.20 and 524.91 is: 724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.06 : 1,213.20 = 524.91 : x
  2. Step 2: Convert to fraction form
    879.06/1,213.20 = 524.91/x
  3. Step 3: Cross multiply
    879.06x = 1,213.20 × 524.91
  4. Step 4: Simplify right side
    879.06x = 636,820.81
  5. Step 5: Solve for x
    x = 636,820.81/879.06
  6. Step 6: Final answer
    x = 724.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.