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Finding the Fourth Proportional to 695.70, 958.96 and 509.20

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Solution

The fourth proportional to 695.70, 958.96 and 509.20 is: 701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.70 : 958.96 = 509.20 : x
  2. Step 2: Convert to fraction form
    695.70/958.96 = 509.20/x
  3. Step 3: Cross multiply
    695.70x = 958.96 × 509.20
  4. Step 4: Simplify right side
    695.70x = 488,302.43
  5. Step 5: Solve for x
    x = 488,302.43/695.70
  6. Step 6: Final answer
    x = 701.89

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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.