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Finding the Fourth Proportional to 785.01, 1,083.24 and 435.69

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Solution

The fourth proportional to 785.01, 1,083.24 and 435.69 is: 601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.01 : 1,083.24 = 435.69 : x
  2. Step 2: Convert to fraction form
    785.01/1,083.24 = 435.69/x
  3. Step 3: Cross multiply
    785.01x = 1,083.24 × 435.69
  4. Step 4: Simplify right side
    785.01x = 471,956.84
  5. Step 5: Solve for x
    x = 471,956.84/785.01
  6. Step 6: Final answer
    x = 601.21

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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.