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Finding the Fourth Proportional to 1,407.94, 2,112.40 and 628.50

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Solution

The fourth proportional to 1,407.94, 2,112.40 and 628.50 is: 942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.94 : 2,112.40 = 628.50 : x
  2. Step 2: Convert to fraction form
    1,407.94/2,112.40 = 628.50/x
  3. Step 3: Cross multiply
    1,407.94x = 2,112.40 × 628.50
  4. Step 4: Simplify right side
    1,407.94x = 1,327,643.40
  5. Step 5: Solve for x
    x = 1,327,643.40/1,407.94
  6. Step 6: Final answer
    x = 942.97

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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.