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Finding the Fourth Proportional to 699.12, 965.52 and 437.28

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Solution

The fourth proportional to 699.12, 965.52 and 437.28 is: 603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.12 : 965.52 = 437.28 : x
  2. Step 2: Convert to fraction form
    699.12/965.52 = 437.28/x
  3. Step 3: Cross multiply
    699.12x = 965.52 × 437.28
  4. Step 4: Simplify right side
    699.12x = 422,202.59
  5. Step 5: Solve for x
    x = 422,202.59/699.12
  6. Step 6: Final answer
    x = 603.91

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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.