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Finding the Fourth Proportional to 699.17, 964.43 and 437.14

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Solution

The fourth proportional to 699.17, 964.43 and 437.14 is: 602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.17 : 964.43 = 437.14 : x
  2. Step 2: Convert to fraction form
    699.17/964.43 = 437.14/x
  3. Step 3: Cross multiply
    699.17x = 964.43 × 437.14
  4. Step 4: Simplify right side
    699.17x = 421,583.92
  5. Step 5: Solve for x
    x = 421,583.92/699.17
  6. Step 6: Final answer
    x = 602.98

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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.