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Finding the Fourth Proportional to 1,108.99, 1,663.49 and 287.21

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Solution

The fourth proportional to 1,108.99, 1,663.49 and 287.21 is: 430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.99 : 1,663.49 = 287.21 : x
  2. Step 2: Convert to fraction form
    1,108.99/1,663.49 = 287.21/x
  3. Step 3: Cross multiply
    1,108.99x = 1,663.49 × 287.21
  4. Step 4: Simplify right side
    1,108.99x = 477,762.65
  5. Step 5: Solve for x
    x = 477,762.65/1,108.99
  6. Step 6: Final answer
    x = 430.81

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Half scale
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Double scale
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Similar ratio
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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.