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Finding the Fourth Proportional to 889.61, 1,334.41 and 312.48

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Solution

The fourth proportional to 889.61, 1,334.41 and 312.48 is: 468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.61 : 1,334.41 = 312.48 : x
  2. Step 2: Convert to fraction form
    889.61/1,334.41 = 312.48/x
  3. Step 3: Cross multiply
    889.61x = 1,334.41 × 312.48
  4. Step 4: Simplify right side
    889.61x = 416,975.66
  5. Step 5: Solve for x
    x = 416,975.66/889.61
  6. Step 6: Final answer
    x = 468.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.