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Finding the Fourth Proportional to 785.02, 1,177.25 and 264.91

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Solution

The fourth proportional to 785.02, 1,177.25 and 264.91 is: 397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.02 : 1,177.25 = 264.91 : x
  2. Step 2: Convert to fraction form
    785.02/1,177.25 = 264.91/x
  3. Step 3: Cross multiply
    785.02x = 1,177.25 × 264.91
  4. Step 4: Simplify right side
    785.02x = 311,865.30
  5. Step 5: Solve for x
    x = 311,865.30/785.02
  6. Step 6: Final answer
    x = 397.27

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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.