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Finding the Fourth Proportional to 646.38, 964.05 and 549.51

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Solution

The fourth proportional to 646.38, 964.05 and 549.51 is: 819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 964.05 = 549.51 : x
  2. Step 2: Convert to fraction form
    646.38/964.05 = 549.51/x
  3. Step 3: Cross multiply
    646.38x = 964.05 × 549.51
  4. Step 4: Simplify right side
    646.38x = 529,755.12
  5. Step 5: Solve for x
    x = 529,755.12/646.38
  6. Step 6: Final answer
    x = 819.57

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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.