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Finding the Fourth Proportional to 856.67, 1,177.06 and 681.71

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Solution

The fourth proportional to 856.67, 1,177.06 and 681.71 is: 936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.67 : 1,177.06 = 681.71 : x
  2. Step 2: Convert to fraction form
    856.67/1,177.06 = 681.71/x
  3. Step 3: Cross multiply
    856.67x = 1,177.06 × 681.71
  4. Step 4: Simplify right side
    856.67x = 802,413.57
  5. Step 5: Solve for x
    x = 802,413.57/856.67
  6. Step 6: Final answer
    x = 936.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.