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Finding the Fourth Proportional to 785.05, 1,177.70 and 265.10

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Solution

The fourth proportional to 785.05, 1,177.70 and 265.10 is: 397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.05 : 1,177.70 = 265.10 : x
  2. Step 2: Convert to fraction form
    785.05/1,177.70 = 265.10/x
  3. Step 3: Cross multiply
    785.05x = 1,177.70 × 265.10
  4. Step 4: Simplify right side
    785.05x = 312,201.06
  5. Step 5: Solve for x
    x = 312,201.06/785.05
  6. Step 6: Final answer
    x = 397.68

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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.