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Finding the Fourth Proportional to 1,108.72, 1,662.94 and 286.93

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Solution

The fourth proportional to 1,108.72, 1,662.94 and 286.93 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.72 : 1,662.94 = 286.93 : x
  2. Step 2: Convert to fraction form
    1,108.72/1,662.94 = 286.93/x
  3. Step 3: Cross multiply
    1,108.72x = 1,662.94 × 286.93
  4. Step 4: Simplify right side
    1,108.72x = 477,147.37
  5. Step 5: Solve for x
    x = 477,147.37/1,108.72
  6. Step 6: Final answer
    x = 430.36

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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.