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Finding the Fourth Proportional to 646.92, 972.81 and 549.72

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Solution

The fourth proportional to 646.92, 972.81 and 549.72 is: 826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 972.81 = 549.72 : x
  2. Step 2: Convert to fraction form
    646.92/972.81 = 549.72/x
  3. Step 3: Cross multiply
    646.92x = 972.81 × 549.72
  4. Step 4: Simplify right side
    646.92x = 534,773.11
  5. Step 5: Solve for x
    x = 534,773.11/646.92
  6. Step 6: Final answer
    x = 826.64

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Why These Related Problems?

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