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Finding the Fourth Proportional to 862.29, 1,293.26 and 285.16

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Solution

The fourth proportional to 862.29, 1,293.26 and 285.16 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.29 : 1,293.26 = 285.16 : x
  2. Step 2: Convert to fraction form
    862.29/1,293.26 = 285.16/x
  3. Step 3: Cross multiply
    862.29x = 1,293.26 × 285.16
  4. Step 4: Simplify right side
    862.29x = 368,786.02
  5. Step 5: Solve for x
    x = 368,786.02/862.29
  6. Step 6: Final answer
    x = 427.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.