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Finding the Fourth Proportional to 1,427.64, 2,140.32 and 648

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Solution

The fourth proportional to 1,427.64, 2,140.32 and 648 is: 971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.64 : 2,140.32 = 648 : x
  2. Step 2: Convert to fraction form
    1,427.64/2,140.32 = 648/x
  3. Step 3: Cross multiply
    1,427.64x = 2,140.32 × 648
  4. Step 4: Simplify right side
    1,427.64x = 1,386,927.36
  5. Step 5: Solve for x
    x = 1,386,927.36/1,427.64
  6. Step 6: Final answer
    x = 971.48

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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.