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Finding the Fourth Proportional to 698.84, 964.12 and 437.03

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Solution

The fourth proportional to 698.84, 964.12 and 437.03 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.84 : 964.12 = 437.03 : x
  2. Step 2: Convert to fraction form
    698.84/964.12 = 437.03/x
  3. Step 3: Cross multiply
    698.84x = 964.12 × 437.03
  4. Step 4: Simplify right side
    698.84x = 421,349.36
  5. Step 5: Solve for x
    x = 421,349.36/698.84
  6. Step 6: Final answer
    x = 602.93

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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.