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Finding the Fourth Proportional to 646.16, 969.34 and 543.22

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Solution

The fourth proportional to 646.16, 969.34 and 543.22 is: 814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 969.34 = 543.22 : x
  2. Step 2: Convert to fraction form
    646.16/969.34 = 543.22/x
  3. Step 3: Cross multiply
    646.16x = 969.34 × 543.22
  4. Step 4: Simplify right side
    646.16x = 526,564.87
  5. Step 5: Solve for x
    x = 526,564.87/646.16
  6. Step 6: Final answer
    x = 814.91

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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.