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Finding the Fourth Proportional to 1,204.83, 1,807.40 and 511.06

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Solution

The fourth proportional to 1,204.83, 1,807.40 and 511.06 is: 766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.83 : 1,807.40 = 511.06 : x
  2. Step 2: Convert to fraction form
    1,204.83/1,807.40 = 511.06/x
  3. Step 3: Cross multiply
    1,204.83x = 1,807.40 × 511.06
  4. Step 4: Simplify right side
    1,204.83x = 923,689.84
  5. Step 5: Solve for x
    x = 923,689.84/1,204.83
  6. Step 6: Final answer
    x = 766.66

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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.