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Finding the Fourth Proportional to 783.63, 1,174.01 and 398.43

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Solution

The fourth proportional to 783.63, 1,174.01 and 398.43 is: 596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.63 : 1,174.01 = 398.43 : x
  2. Step 2: Convert to fraction form
    783.63/1,174.01 = 398.43/x
  3. Step 3: Cross multiply
    783.63x = 1,174.01 × 398.43
  4. Step 4: Simplify right side
    783.63x = 467,758.81
  5. Step 5: Solve for x
    x = 467,758.81/783.63
  6. Step 6: Final answer
    x = 596.91

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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.