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Finding the Fourth Proportional to 900.10, 1,238.25 and 883.09

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Solution

The fourth proportional to 900.10, 1,238.25 and 883.09 is: 1,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.10 : 1,238.25 = 883.09 : x
  2. Step 2: Convert to fraction form
    900.10/1,238.25 = 883.09/x
  3. Step 3: Cross multiply
    900.10x = 1,238.25 × 883.09
  4. Step 4: Simplify right side
    900.10x = 1,093,486.19
  5. Step 5: Solve for x
    x = 1,093,486.19/900.10
  6. Step 6: Final answer
    x = 1,214.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.