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Finding the Fourth Proportional to 887.08, 1,223.47 and 770.44

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Solution

The fourth proportional to 887.08, 1,223.47 and 770.44 is: 1,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.08 : 1,223.47 = 770.44 : x
  2. Step 2: Convert to fraction form
    887.08/1,223.47 = 770.44/x
  3. Step 3: Cross multiply
    887.08x = 1,223.47 × 770.44
  4. Step 4: Simplify right side
    887.08x = 942,600.26
  5. Step 5: Solve for x
    x = 942,600.26/887.08
  6. Step 6: Final answer
    x = 1,062.59

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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.