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Finding the Fourth Proportional to 684.42, 942.84 and 544.50

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Solution

The fourth proportional to 684.42, 942.84 and 544.50 is: 750.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.42 : 942.84 = 544.50 : x
  2. Step 2: Convert to fraction form
    684.42/942.84 = 544.50/x
  3. Step 3: Cross multiply
    684.42x = 942.84 × 544.50
  4. Step 4: Simplify right side
    684.42x = 513,376.38
  5. Step 5: Solve for x
    x = 513,376.38/684.42
  6. Step 6: Final answer
    x = 750.09

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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.