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Finding the Fourth Proportional to 559.40, 834 and 544.98

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Solution

The fourth proportional to 559.40, 834 and 544.98 is: 812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.40 : 834 = 544.98 : x
  2. Step 2: Convert to fraction form
    559.40/834 = 544.98/x
  3. Step 3: Cross multiply
    559.40x = 834 × 544.98
  4. Step 4: Simplify right side
    559.40x = 454,513.32
  5. Step 5: Solve for x
    x = 454,513.32/559.40
  6. Step 6: Final answer
    x = 812.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.