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Finding the Fourth Proportional to 554.81, 834.54 and 462.55

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Solution

The fourth proportional to 554.81, 834.54 and 462.55 is: 695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.81 : 834.54 = 462.55 : x
  2. Step 2: Convert to fraction form
    554.81/834.54 = 462.55/x
  3. Step 3: Cross multiply
    554.81x = 834.54 × 462.55
  4. Step 4: Simplify right side
    554.81x = 386,016.48
  5. Step 5: Solve for x
    x = 386,016.48/554.81
  6. Step 6: Final answer
    x = 695.76

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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.