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Finding the Fourth Proportional to 613.98, 916.11 and 544.32

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Solution

The fourth proportional to 613.98, 916.11 and 544.32 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.98 : 916.11 = 544.32 : x
  2. Step 2: Convert to fraction form
    613.98/916.11 = 544.32/x
  3. Step 3: Cross multiply
    613.98x = 916.11 × 544.32
  4. Step 4: Simplify right side
    613.98x = 498,657.00
  5. Step 5: Solve for x
    x = 498,657.00/613.98
  6. Step 6: Final answer
    x = 812.17

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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.