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Finding the Fourth Proportional to 889.55, 1,334.30 and 312.42

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Solution

The fourth proportional to 889.55, 1,334.30 and 312.42 is: 468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.55 : 1,334.30 = 312.42 : x
  2. Step 2: Convert to fraction form
    889.55/1,334.30 = 312.42/x
  3. Step 3: Cross multiply
    889.55x = 1,334.30 × 312.42
  4. Step 4: Simplify right side
    889.55x = 416,862.01
  5. Step 5: Solve for x
    x = 416,862.01/889.55
  6. Step 6: Final answer
    x = 468.62

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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.