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Finding the Fourth Proportional to 803.55, 1,205.50 and 309.95

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Solution

The fourth proportional to 803.55, 1,205.50 and 309.95 is: 464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.55 : 1,205.50 = 309.95 : x
  2. Step 2: Convert to fraction form
    803.55/1,205.50 = 309.95/x
  3. Step 3: Cross multiply
    803.55x = 1,205.50 × 309.95
  4. Step 4: Simplify right side
    803.55x = 373,644.73
  5. Step 5: Solve for x
    x = 373,644.73/803.55
  6. Step 6: Final answer
    x = 464.99

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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.