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Finding the Fourth Proportional to 695.71, 960.38 and 433.86

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Solution

The fourth proportional to 695.71, 960.38 and 433.86 is: 598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.71 : 960.38 = 433.86 : x
  2. Step 2: Convert to fraction form
    695.71/960.38 = 433.86/x
  3. Step 3: Cross multiply
    695.71x = 960.38 × 433.86
  4. Step 4: Simplify right side
    695.71x = 416,670.47
  5. Step 5: Solve for x
    x = 416,670.47/695.71
  6. Step 6: Final answer
    x = 598.91

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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.