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Finding the Fourth Proportional to 1,217.15, 1,679.68 and 685.93

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Solution

The fourth proportional to 1,217.15, 1,679.68 and 685.93 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.15 : 1,679.68 = 685.93 : x
  2. Step 2: Convert to fraction form
    1,217.15/1,679.68 = 685.93/x
  3. Step 3: Cross multiply
    1,217.15x = 1,679.68 × 685.93
  4. Step 4: Simplify right side
    1,217.15x = 1,152,136.99
  5. Step 5: Solve for x
    x = 1,152,136.99/1,217.15
  6. Step 6: Final answer
    x = 946.59

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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.