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Finding the Fourth Proportional to 699.40, 965.12 and 433.72

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Solution

The fourth proportional to 699.40, 965.12 and 433.72 is: 598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.40 : 965.12 = 433.72 : x
  2. Step 2: Convert to fraction form
    699.40/965.12 = 433.72/x
  3. Step 3: Cross multiply
    699.40x = 965.12 × 433.72
  4. Step 4: Simplify right side
    699.40x = 418,591.85
  5. Step 5: Solve for x
    x = 418,591.85/699.40
  6. Step 6: Final answer
    x = 598.50

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Double scale
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1.5x scale

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.