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Finding the Fourth Proportional to 695.34, 960.13 and 430.17

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Solution

The fourth proportional to 695.34, 960.13 and 430.17 is: 593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.34 : 960.13 = 430.17 : x
  2. Step 2: Convert to fraction form
    695.34/960.13 = 430.17/x
  3. Step 3: Cross multiply
    695.34x = 960.13 × 430.17
  4. Step 4: Simplify right side
    695.34x = 413,019.12
  5. Step 5: Solve for x
    x = 413,019.12/695.34
  6. Step 6: Final answer
    x = 593.98

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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.