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Finding the Fourth Proportional to 899.10, 1,349.10 and 412.11

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Solution

The fourth proportional to 899.10, 1,349.10 and 412.11 is: 618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.10 : 1,349.10 = 412.11 : x
  2. Step 2: Convert to fraction form
    899.10/1,349.10 = 412.11/x
  3. Step 3: Cross multiply
    899.10x = 1,349.10 × 412.11
  4. Step 4: Simplify right side
    899.10x = 555,977.60
  5. Step 5: Solve for x
    x = 555,977.60/899.10
  6. Step 6: Final answer
    x = 618.37

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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.