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Finding the Fourth Proportional to 785.77, 1,177.17 and 419.38

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Solution

The fourth proportional to 785.77, 1,177.17 and 419.38 is: 628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.77 : 1,177.17 = 419.38 : x
  2. Step 2: Convert to fraction form
    785.77/1,177.17 = 419.38/x
  3. Step 3: Cross multiply
    785.77x = 1,177.17 × 419.38
  4. Step 4: Simplify right side
    785.77x = 493,681.55
  5. Step 5: Solve for x
    x = 493,681.55/785.77
  6. Step 6: Final answer
    x = 628.28

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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.