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Finding the Fourth Proportional to 785.75, 1,178.10 and 439.59

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Solution

The fourth proportional to 785.75, 1,178.10 and 439.59 is: 659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.75 : 1,178.10 = 439.59 : x
  2. Step 2: Convert to fraction form
    785.75/1,178.10 = 439.59/x
  3. Step 3: Cross multiply
    785.75x = 1,178.10 × 439.59
  4. Step 4: Simplify right side
    785.75x = 517,880.98
  5. Step 5: Solve for x
    x = 517,880.98/785.75
  6. Step 6: Final answer
    x = 659.10

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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.