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Finding the Fourth Proportional to 894.37, 1,233.29 and 707.56

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Solution

The fourth proportional to 894.37, 1,233.29 and 707.56 is: 975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.37 : 1,233.29 = 707.56 : x
  2. Step 2: Convert to fraction form
    894.37/1,233.29 = 707.56/x
  3. Step 3: Cross multiply
    894.37x = 1,233.29 × 707.56
  4. Step 4: Simplify right side
    894.37x = 872,625.36
  5. Step 5: Solve for x
    x = 872,625.36/894.37
  6. Step 6: Final answer
    x = 975.69

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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.