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Finding the Fourth Proportional to 1,204.63, 1,807.01 and 339.01

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Solution

The fourth proportional to 1,204.63, 1,807.01 and 339.01 is: 508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.63 : 1,807.01 = 339.01 : x
  2. Step 2: Convert to fraction form
    1,204.63/1,807.01 = 339.01/x
  3. Step 3: Cross multiply
    1,204.63x = 1,807.01 × 339.01
  4. Step 4: Simplify right side
    1,204.63x = 612,594.46
  5. Step 5: Solve for x
    x = 612,594.46/1,204.63
  6. Step 6: Final answer
    x = 508.53

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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.