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Finding the Fourth Proportional to 687.71, 1,036.22 and 568.64

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Solution

The fourth proportional to 687.71, 1,036.22 and 568.64 is: 856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.71 : 1,036.22 = 568.64 : x
  2. Step 2: Convert to fraction form
    687.71/1,036.22 = 568.64/x
  3. Step 3: Cross multiply
    687.71x = 1,036.22 × 568.64
  4. Step 4: Simplify right side
    687.71x = 589,236.14
  5. Step 5: Solve for x
    x = 589,236.14/687.71
  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.