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Finding the Fourth Proportional to 894.16, 1,228.77 and 736.50

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Solution

The fourth proportional to 894.16, 1,228.77 and 736.50 is: 1,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,228.77 = 736.50 : x
  2. Step 2: Convert to fraction form
    894.16/1,228.77 = 736.50/x
  3. Step 3: Cross multiply
    894.16x = 1,228.77 × 736.50
  4. Step 4: Simplify right side
    894.16x = 904,989.11
  5. Step 5: Solve for x
    x = 904,989.11/894.16
  6. Step 6: Final answer
    x = 1,012.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.