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Finding the Fourth Proportional to 892.23, 1,230.39 and 705.35

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Solution

The fourth proportional to 892.23, 1,230.39 and 705.35 is: 972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.23 : 1,230.39 = 705.35 : x
  2. Step 2: Convert to fraction form
    892.23/1,230.39 = 705.35/x
  3. Step 3: Cross multiply
    892.23x = 1,230.39 × 705.35
  4. Step 4: Simplify right side
    892.23x = 867,849.43
  5. Step 5: Solve for x
    x = 867,849.43/892.23
  6. Step 6: Final answer
    x = 972.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.