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Finding the Fourth Proportional to 646.82, 969.87 and 509.46

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Solution

The fourth proportional to 646.82, 969.87 and 509.46 is: 763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 969.87 = 509.46 : x
  2. Step 2: Convert to fraction form
    646.82/969.87 = 509.46/x
  3. Step 3: Cross multiply
    646.82x = 969.87 × 509.46
  4. Step 4: Simplify right side
    646.82x = 494,108.24
  5. Step 5: Solve for x
    x = 494,108.24/646.82
  6. Step 6: Final answer
    x = 763.91

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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.