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Finding the Fourth Proportional to 785.96, 1,177.14 and 375.38

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Solution

The fourth proportional to 785.96, 1,177.14 and 375.38 is: 562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.96 : 1,177.14 = 375.38 : x
  2. Step 2: Convert to fraction form
    785.96/1,177.14 = 375.38/x
  3. Step 3: Cross multiply
    785.96x = 1,177.14 × 375.38
  4. Step 4: Simplify right side
    785.96x = 441,877.76
  5. Step 5: Solve for x
    x = 441,877.76/785.96
  6. Step 6: Final answer
    x = 562.22

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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.