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Finding the Fourth Proportional to 699.58, 965.87 and 434.30

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Solution

The fourth proportional to 699.58, 965.87 and 434.30 is: 599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.58 : 965.87 = 434.30 : x
  2. Step 2: Convert to fraction form
    699.58/965.87 = 434.30/x
  3. Step 3: Cross multiply
    699.58x = 965.87 × 434.30
  4. Step 4: Simplify right side
    699.58x = 419,482.56
  5. Step 5: Solve for x
    x = 419,482.56/699.58
  6. Step 6: Final answer
    x = 599.62

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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.