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Finding the Fourth Proportional to 1,970.88, 2,955.94 and 654.43

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Solution

The fourth proportional to 1,970.88, 2,955.94 and 654.43 is: 981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.88 : 2,955.94 = 654.43 : x
  2. Step 2: Convert to fraction form
    1,970.88/2,955.94 = 654.43/x
  3. Step 3: Cross multiply
    1,970.88x = 2,955.94 × 654.43
  4. Step 4: Simplify right side
    1,970.88x = 1,934,456.01
  5. Step 5: Solve for x
    x = 1,934,456.01/1,970.88
  6. Step 6: Final answer
    x = 981.52

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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.