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Finding the Fourth Proportional to 785.91, 1,084.19 and 506.09

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Solution

The fourth proportional to 785.91, 1,084.19 and 506.09 is: 698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.91 : 1,084.19 = 506.09 : x
  2. Step 2: Convert to fraction form
    785.91/1,084.19 = 506.09/x
  3. Step 3: Cross multiply
    785.91x = 1,084.19 × 506.09
  4. Step 4: Simplify right side
    785.91x = 548,697.72
  5. Step 5: Solve for x
    x = 548,697.72/785.91
  6. Step 6: Final answer
    x = 698.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.