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Finding the Fourth Proportional to 1,289.19, 1,932.63 and 467.28

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Solution

The fourth proportional to 1,289.19, 1,932.63 and 467.28 is: 700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.19 : 1,932.63 = 467.28 : x
  2. Step 2: Convert to fraction form
    1,289.19/1,932.63 = 467.28/x
  3. Step 3: Cross multiply
    1,289.19x = 1,932.63 × 467.28
  4. Step 4: Simplify right side
    1,289.19x = 903,079.35
  5. Step 5: Solve for x
    x = 903,079.35/1,289.19
  6. Step 6: Final answer
    x = 700.50

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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.