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Finding the Fourth Proportional to 1,204.95, 1,807.42 and 383.22

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Solution

The fourth proportional to 1,204.95, 1,807.42 and 383.22 is: 574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.95 : 1,807.42 = 383.22 : x
  2. Step 2: Convert to fraction form
    1,204.95/1,807.42 = 383.22/x
  3. Step 3: Cross multiply
    1,204.95x = 1,807.42 × 383.22
  4. Step 4: Simplify right side
    1,204.95x = 692,639.49
  5. Step 5: Solve for x
    x = 692,639.49/1,204.95
  6. Step 6: Final answer
    x = 574.83

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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.