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Finding the Fourth Proportional to 786.43, 1,085.96 and 492.20

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Solution

The fourth proportional to 786.43, 1,085.96 and 492.20 is: 679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.43 : 1,085.96 = 492.20 : x
  2. Step 2: Convert to fraction form
    786.43/1,085.96 = 492.20/x
  3. Step 3: Cross multiply
    786.43x = 1,085.96 × 492.20
  4. Step 4: Simplify right side
    786.43x = 534,509.51
  5. Step 5: Solve for x
    x = 534,509.51/786.43
  6. Step 6: Final answer
    x = 679.67

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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.