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Finding the Fourth Proportional to 1,970.69, 2,955.81 and 654.39

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Solution

The fourth proportional to 1,970.69, 2,955.81 and 654.39 is: 981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.69 : 2,955.81 = 654.39 : x
  2. Step 2: Convert to fraction form
    1,970.69/2,955.81 = 654.39/x
  3. Step 3: Cross multiply
    1,970.69x = 2,955.81 × 654.39
  4. Step 4: Simplify right side
    1,970.69x = 1,934,252.51
  5. Step 5: Solve for x
    x = 1,934,252.51/1,970.69
  6. Step 6: Final answer
    x = 981.51

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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.