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Finding the Fourth Proportional to 887.12, 1,223.34 and 776.24

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Solution

The fourth proportional to 887.12, 1,223.34 and 776.24 is: 1,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.12 : 1,223.34 = 776.24 : x
  2. Step 2: Convert to fraction form
    887.12/1,223.34 = 776.24/x
  3. Step 3: Cross multiply
    887.12x = 1,223.34 × 776.24
  4. Step 4: Simplify right side
    887.12x = 949,605.44
  5. Step 5: Solve for x
    x = 949,605.44/887.12
  6. Step 6: Final answer
    x = 1,070.44

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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.