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Finding the Fourth Proportional to 696.65, 961.61 and 435.02

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Solution

The fourth proportional to 696.65, 961.61 and 435.02 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.65 : 961.61 = 435.02 : x
  2. Step 2: Convert to fraction form
    696.65/961.61 = 435.02/x
  3. Step 3: Cross multiply
    696.65x = 961.61 × 435.02
  4. Step 4: Simplify right side
    696.65x = 418,312.60
  5. Step 5: Solve for x
    x = 418,312.60/696.65
  6. Step 6: Final answer
    x = 600.47

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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.