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Finding the Fourth Proportional to 604.77, 834.77 and 342.96

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Solution

The fourth proportional to 604.77, 834.77 and 342.96 is: 473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.77 : 834.77 = 342.96 : x
  2. Step 2: Convert to fraction form
    604.77/834.77 = 342.96/x
  3. Step 3: Cross multiply
    604.77x = 834.77 × 342.96
  4. Step 4: Simplify right side
    604.77x = 286,293.58
  5. Step 5: Solve for x
    x = 286,293.58/604.77
  6. Step 6: Final answer
    x = 473.39

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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.