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Finding the Fourth Proportional to 900.11, 1,348.92 and 412.04

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Solution

The fourth proportional to 900.11, 1,348.92 and 412.04 is: 617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.11 : 1,348.92 = 412.04 : x
  2. Step 2: Convert to fraction form
    900.11/1,348.92 = 412.04/x
  3. Step 3: Cross multiply
    900.11x = 1,348.92 × 412.04
  4. Step 4: Simplify right side
    900.11x = 555,802.25
  5. Step 5: Solve for x
    x = 555,802.25/900.11
  6. Step 6: Final answer
    x = 617.49

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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.