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Finding the Fourth Proportional to 696.48, 960.70 and 430.85

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Solution

The fourth proportional to 696.48, 960.70 and 430.85 is: 594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.48 : 960.70 = 430.85 : x
  2. Step 2: Convert to fraction form
    696.48/960.70 = 430.85/x
  3. Step 3: Cross multiply
    696.48x = 960.70 × 430.85
  4. Step 4: Simplify right side
    696.48x = 413,917.60
  5. Step 5: Solve for x
    x = 413,917.60/696.48
  6. Step 6: Final answer
    x = 594.30

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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.