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Finding the Fourth Proportional to 682.80, 946.38 and 618

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Solution

The fourth proportional to 682.80, 946.38 and 618 is: 856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 946.38 = 618 : x
  2. Step 2: Convert to fraction form
    682.80/946.38 = 618/x
  3. Step 3: Cross multiply
    682.80x = 946.38 × 618
  4. Step 4: Simplify right side
    682.80x = 584,862.84
  5. Step 5: Solve for x
    x = 584,862.84/682.80
  6. Step 6: Final answer
    x = 856.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.