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Finding the Fourth Proportional to 887.12, 1,223.48 and 838.48

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Solution

The fourth proportional to 887.12, 1,223.48 and 838.48 is: 1,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.12 : 1,223.48 = 838.48 : x
  2. Step 2: Convert to fraction form
    887.12/1,223.48 = 838.48/x
  3. Step 3: Cross multiply
    887.12x = 1,223.48 × 838.48
  4. Step 4: Simplify right side
    887.12x = 1,025,863.51
  5. Step 5: Solve for x
    x = 1,025,863.51/887.12
  6. Step 6: Final answer
    x = 1,156.40

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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.