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Finding the Fourth Proportional to 682.38, 1,019.43 and 545.76

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Solution

The fourth proportional to 682.38, 1,019.43 and 545.76 is: 815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.38 : 1,019.43 = 545.76 : x
  2. Step 2: Convert to fraction form
    682.38/1,019.43 = 545.76/x
  3. Step 3: Cross multiply
    682.38x = 1,019.43 × 545.76
  4. Step 4: Simplify right side
    682.38x = 556,364.12
  5. Step 5: Solve for x
    x = 556,364.12/682.38
  6. Step 6: Final answer
    x = 815.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.