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Finding the Fourth Proportional to 696.48, 960.97 and 434.31

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Solution

The fourth proportional to 696.48, 960.97 and 434.31 is: 599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.48 : 960.97 = 434.31 : x
  2. Step 2: Convert to fraction form
    696.48/960.97 = 434.31/x
  3. Step 3: Cross multiply
    696.48x = 960.97 × 434.31
  4. Step 4: Simplify right side
    696.48x = 417,358.88
  5. Step 5: Solve for x
    x = 417,358.88/696.48
  6. Step 6: Final answer
    x = 599.24

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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.