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Finding the Fourth Proportional to 646.50, 893.01 and 549.30

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Solution

The fourth proportional to 646.50, 893.01 and 549.30 is: 758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.50 : 893.01 = 549.30 : x
  2. Step 2: Convert to fraction form
    646.50/893.01 = 549.30/x
  3. Step 3: Cross multiply
    646.50x = 893.01 × 549.30
  4. Step 4: Simplify right side
    646.50x = 490,530.39
  5. Step 5: Solve for x
    x = 490,530.39/646.50
  6. Step 6: Final answer
    x = 758.75

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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.