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Finding the Fourth Proportional to 785.84, 1,177.14 and 460.22

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Solution

The fourth proportional to 785.84, 1,177.14 and 460.22 is: 689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.84 : 1,177.14 = 460.22 : x
  2. Step 2: Convert to fraction form
    785.84/1,177.14 = 460.22/x
  3. Step 3: Cross multiply
    785.84x = 1,177.14 × 460.22
  4. Step 4: Simplify right side
    785.84x = 541,743.37
  5. Step 5: Solve for x
    x = 541,743.37/785.84
  6. Step 6: Final answer
    x = 689.38

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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.