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Finding the Fourth Proportional to 784.89, 1,179.50 and 438.75

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Solution

The fourth proportional to 784.89, 1,179.50 and 438.75 is: 659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.89 : 1,179.50 = 438.75 : x
  2. Step 2: Convert to fraction form
    784.89/1,179.50 = 438.75/x
  3. Step 3: Cross multiply
    784.89x = 1,179.50 × 438.75
  4. Step 4: Simplify right side
    784.89x = 517,503.43
  5. Step 5: Solve for x
    x = 517,503.43/784.89
  6. Step 6: Final answer
    x = 659.33

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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.