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Finding the Fourth Proportional to 729.84, 1,099.86 and 623.04

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Solution

The fourth proportional to 729.84, 1,099.86 and 623.04 is: 938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,099.86 = 623.04 : x
  2. Step 2: Convert to fraction form
    729.84/1,099.86 = 623.04/x
  3. Step 3: Cross multiply
    729.84x = 1,099.86 × 623.04
  4. Step 4: Simplify right side
    729.84x = 685,256.77
  5. Step 5: Solve for x
    x = 685,256.77/729.84
  6. Step 6: Final answer
    x = 938.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.