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Finding the Fourth Proportional to 1,204.55, 1,807.10 and 511.25

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Solution

The fourth proportional to 1,204.55, 1,807.10 and 511.25 is: 766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.55 : 1,807.10 = 511.25 : x
  2. Step 2: Convert to fraction form
    1,204.55/1,807.10 = 511.25/x
  3. Step 3: Cross multiply
    1,204.55x = 1,807.10 × 511.25
  4. Step 4: Simplify right side
    1,204.55x = 923,871.64
  5. Step 5: Solve for x
    x = 923,871.64/1,204.55
  6. Step 6: Final answer
    x = 766.99

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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.