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Finding the Fourth Proportional to 556.75, 834 and 465.15

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Solution

The fourth proportional to 556.75, 834 and 465.15 is: 696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.75 : 834 = 465.15 : x
  2. Step 2: Convert to fraction form
    556.75/834 = 465.15/x
  3. Step 3: Cross multiply
    556.75x = 834 × 465.15
  4. Step 4: Simplify right side
    556.75x = 387,935.10
  5. Step 5: Solve for x
    x = 387,935.10/556.75
  6. Step 6: Final answer
    x = 696.79

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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.