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Finding the Fourth Proportional to 785.80, 1,179.90 and 461.80

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Solution

The fourth proportional to 785.80, 1,179.90 and 461.80 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.80 : 1,179.90 = 461.80 : x
  2. Step 2: Convert to fraction form
    785.80/1,179.90 = 461.80/x
  3. Step 3: Cross multiply
    785.80x = 1,179.90 × 461.80
  4. Step 4: Simplify right side
    785.80x = 544,877.82
  5. Step 5: Solve for x
    x = 544,877.82/785.80
  6. Step 6: Final answer
    x = 693.41

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1.5x scale

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.