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Finding the Fourth Proportional to 894.54, 1,232.43 and 707.94

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Solution

The fourth proportional to 894.54, 1,232.43 and 707.94 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.54 : 1,232.43 = 707.94 : x
  2. Step 2: Convert to fraction form
    894.54/1,232.43 = 707.94/x
  3. Step 3: Cross multiply
    894.54x = 1,232.43 × 707.94
  4. Step 4: Simplify right side
    894.54x = 872,486.49
  5. Step 5: Solve for x
    x = 872,486.49/894.54
  6. Step 6: Final answer
    x = 975.35

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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.