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Finding the Fourth Proportional to 696.75, 960.69 and 586.05

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Solution

The fourth proportional to 696.75, 960.69 and 586.05 is: 808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 960.69 = 586.05 : x
  2. Step 2: Convert to fraction form
    696.75/960.69 = 586.05/x
  3. Step 3: Cross multiply
    696.75x = 960.69 × 586.05
  4. Step 4: Simplify right side
    696.75x = 563,012.37
  5. Step 5: Solve for x
    x = 563,012.37/696.75
  6. Step 6: Final answer
    x = 808.06

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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.