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Finding the Fourth Proportional to 687.66, 1,036.22 and 568.60

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Solution

The fourth proportional to 687.66, 1,036.22 and 568.60 is: 856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.66 : 1,036.22 = 568.60 : x
  2. Step 2: Convert to fraction form
    687.66/1,036.22 = 568.60/x
  3. Step 3: Cross multiply
    687.66x = 1,036.22 × 568.60
  4. Step 4: Simplify right side
    687.66x = 589,194.69
  5. Step 5: Solve for x
    x = 589,194.69/687.66
  6. Step 6: Final answer
    x = 856.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.