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Finding the Fourth Proportional to 696.90, 960.86 and 586.14

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Solution

The fourth proportional to 696.90, 960.86 and 586.14 is: 808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 960.86 = 586.14 : x
  2. Step 2: Convert to fraction form
    696.90/960.86 = 586.14/x
  3. Step 3: Cross multiply
    696.90x = 960.86 × 586.14
  4. Step 4: Simplify right side
    696.90x = 563,196.34
  5. Step 5: Solve for x
    x = 563,196.34/696.90
  6. Step 6: Final answer
    x = 808.14

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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.