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Finding the Fourth Proportional to 697.53, 961.74 and 435.09

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Solution

The fourth proportional to 697.53, 961.74 and 435.09 is: 599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 961.74 = 435.09 : x
  2. Step 2: Convert to fraction form
    697.53/961.74 = 435.09/x
  3. Step 3: Cross multiply
    697.53x = 961.74 × 435.09
  4. Step 4: Simplify right side
    697.53x = 418,443.46
  5. Step 5: Solve for x
    x = 418,443.46/697.53
  6. Step 6: Final answer
    x = 599.89

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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.