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Finding the Fourth Proportional to 889.30, 1,333.86 and 312.04

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Solution

The fourth proportional to 889.30, 1,333.86 and 312.04 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.30 : 1,333.86 = 312.04 : x
  2. Step 2: Convert to fraction form
    889.30/1,333.86 = 312.04/x
  3. Step 3: Cross multiply
    889.30x = 1,333.86 × 312.04
  4. Step 4: Simplify right side
    889.30x = 416,217.67
  5. Step 5: Solve for x
    x = 416,217.67/889.30
  6. Step 6: Final answer
    x = 468.03

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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.