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Finding the Fourth Proportional to 899.10, 1,348.04 and 412.49

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Solution

The fourth proportional to 899.10, 1,348.04 and 412.49 is: 618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.10 : 1,348.04 = 412.49 : x
  2. Step 2: Convert to fraction form
    899.10/1,348.04 = 412.49/x
  3. Step 3: Cross multiply
    899.10x = 1,348.04 × 412.49
  4. Step 4: Simplify right side
    899.10x = 556,057.42
  5. Step 5: Solve for x
    x = 556,057.42/899.10
  6. Step 6: Final answer
    x = 618.46

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Double scale
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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.