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Finding the Fourth Proportional to 696.11, 960.31 and 430.33

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Solution

The fourth proportional to 696.11, 960.31 and 430.33 is: 593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.11 : 960.31 = 430.33 : x
  2. Step 2: Convert to fraction form
    696.11/960.31 = 430.33/x
  3. Step 3: Cross multiply
    696.11x = 960.31 × 430.33
  4. Step 4: Simplify right side
    696.11x = 413,250.20
  5. Step 5: Solve for x
    x = 413,250.20/696.11
  6. Step 6: Final answer
    x = 593.66

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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.