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Finding the Fourth Proportional to 646.98, 969.09 and 402.30

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Solution

The fourth proportional to 646.98, 969.09 and 402.30 is: 602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.98 : 969.09 = 402.30 : x
  2. Step 2: Convert to fraction form
    646.98/969.09 = 402.30/x
  3. Step 3: Cross multiply
    646.98x = 969.09 × 402.30
  4. Step 4: Simplify right side
    646.98x = 389,863.40
  5. Step 5: Solve for x
    x = 389,863.40/646.98
  6. Step 6: Final answer
    x = 602.59

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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.