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Finding the Fourth Proportional to 786.57, 1,085.85 and 492.27

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Solution

The fourth proportional to 786.57, 1,085.85 and 492.27 is: 679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.57 : 1,085.85 = 492.27 : x
  2. Step 2: Convert to fraction form
    786.57/1,085.85 = 492.27/x
  3. Step 3: Cross multiply
    786.57x = 1,085.85 × 492.27
  4. Step 4: Simplify right side
    786.57x = 534,531.38
  5. Step 5: Solve for x
    x = 534,531.38/786.57
  6. Step 6: Final answer
    x = 679.57

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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.