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Finding the Fourth Proportional to 646.75, 968.28 and 549.13

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Solution

The fourth proportional to 646.75, 968.28 and 549.13 is: 822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.75 : 968.28 = 549.13 : x
  2. Step 2: Convert to fraction form
    646.75/968.28 = 549.13/x
  3. Step 3: Cross multiply
    646.75x = 968.28 × 549.13
  4. Step 4: Simplify right side
    646.75x = 531,711.60
  5. Step 5: Solve for x
    x = 531,711.60/646.75
  6. Step 6: Final answer
    x = 822.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.