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Finding the Fourth Proportional to 699.67, 965.26 and 434.03

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Solution

The fourth proportional to 699.67, 965.26 and 434.03 is: 598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.67 : 965.26 = 434.03 : x
  2. Step 2: Convert to fraction form
    699.67/965.26 = 434.03/x
  3. Step 3: Cross multiply
    699.67x = 965.26 × 434.03
  4. Step 4: Simplify right side
    699.67x = 418,947.51
  5. Step 5: Solve for x
    x = 418,947.51/699.67
  6. Step 6: Final answer
    x = 598.78

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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.