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Finding the Fourth Proportional to 687.29, 1,035.65 and 568.22

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Solution

The fourth proportional to 687.29, 1,035.65 and 568.22 is: 856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.29 : 1,035.65 = 568.22 : x
  2. Step 2: Convert to fraction form
    687.29/1,035.65 = 568.22/x
  3. Step 3: Cross multiply
    687.29x = 1,035.65 × 568.22
  4. Step 4: Simplify right side
    687.29x = 588,477.04
  5. Step 5: Solve for x
    x = 588,477.04/687.29
  6. Step 6: Final answer
    x = 856.23

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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.