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Finding the Fourth Proportional to 630.81, 941.18 and 564.75

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Solution

The fourth proportional to 630.81, 941.18 and 564.75 is: 842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.81 : 941.18 = 564.75 : x
  2. Step 2: Convert to fraction form
    630.81/941.18 = 564.75/x
  3. Step 3: Cross multiply
    630.81x = 941.18 × 564.75
  4. Step 4: Simplify right side
    630.81x = 531,531.41
  5. Step 5: Solve for x
    x = 531,531.41/630.81
  6. Step 6: Final answer
    x = 842.62

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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.