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Finding the Fourth Proportional to 899.99, 1,348.19 and 412.37

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Solution

The fourth proportional to 899.99, 1,348.19 and 412.37 is: 617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.99 : 1,348.19 = 412.37 : x
  2. Step 2: Convert to fraction form
    899.99/1,348.19 = 412.37/x
  3. Step 3: Cross multiply
    899.99x = 1,348.19 × 412.37
  4. Step 4: Simplify right side
    899.99x = 555,954.42
  5. Step 5: Solve for x
    x = 555,954.42/899.99
  6. Step 6: Final answer
    x = 617.73

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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.