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Finding the Fourth Proportional to 803.15, 1,204.52 and 340.69

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Solution

The fourth proportional to 803.15, 1,204.52 and 340.69 is: 510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.15 : 1,204.52 = 340.69 : x
  2. Step 2: Convert to fraction form
    803.15/1,204.52 = 340.69/x
  3. Step 3: Cross multiply
    803.15x = 1,204.52 × 340.69
  4. Step 4: Simplify right side
    803.15x = 410,367.38
  5. Step 5: Solve for x
    x = 410,367.38/803.15
  6. Step 6: Final answer
    x = 510.95

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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.