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Finding the Fourth Proportional to 785.96, 1,085.12 and 599.12

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Solution

The fourth proportional to 785.96, 1,085.12 and 599.12 is: 827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.96 : 1,085.12 = 599.12 : x
  2. Step 2: Convert to fraction form
    785.96/1,085.12 = 599.12/x
  3. Step 3: Cross multiply
    785.96x = 1,085.12 × 599.12
  4. Step 4: Simplify right side
    785.96x = 650,117.09
  5. Step 5: Solve for x
    x = 650,117.09/785.96
  6. Step 6: Final answer
    x = 827.16

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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.