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Finding the Fourth Proportional to 696.63, 960.97 and 434.46

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Solution

The fourth proportional to 696.63, 960.97 and 434.46 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.63 : 960.97 = 434.46 : x
  2. Step 2: Convert to fraction form
    696.63/960.97 = 434.46/x
  3. Step 3: Cross multiply
    696.63x = 960.97 × 434.46
  4. Step 4: Simplify right side
    696.63x = 417,503.03
  5. Step 5: Solve for x
    x = 417,503.03/696.63
  6. Step 6: Final answer
    x = 599.32

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1.5x scale

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.