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Finding the Fourth Proportional to 785.34, 1,177.25 and 438.84

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Solution

The fourth proportional to 785.34, 1,177.25 and 438.84 is: 657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,177.25 = 438.84 : x
  2. Step 2: Convert to fraction form
    785.34/1,177.25 = 438.84/x
  3. Step 3: Cross multiply
    785.34x = 1,177.25 × 438.84
  4. Step 4: Simplify right side
    785.34x = 516,622.20
  5. Step 5: Solve for x
    x = 516,622.20/785.34
  6. Step 6: Final answer
    x = 657.83

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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.