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Finding the Fourth Proportional to 861.99, 1,293.26 and 285.27

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Solution

The fourth proportional to 861.99, 1,293.26 and 285.27 is: 427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.99 : 1,293.26 = 285.27 : x
  2. Step 2: Convert to fraction form
    861.99/1,293.26 = 285.27/x
  3. Step 3: Cross multiply
    861.99x = 1,293.26 × 285.27
  4. Step 4: Simplify right side
    861.99x = 368,926.85
  5. Step 5: Solve for x
    x = 368,926.85/861.99
  6. Step 6: Final answer
    x = 427.99

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Double scale
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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.