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Finding the Fourth Proportional to 1,970.39, 2,955.63 and 653.72

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Solution

The fourth proportional to 1,970.39, 2,955.63 and 653.72 is: 980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.39 : 2,955.63 = 653.72 : x
  2. Step 2: Convert to fraction form
    1,970.39/2,955.63 = 653.72/x
  3. Step 3: Cross multiply
    1,970.39x = 2,955.63 × 653.72
  4. Step 4: Simplify right side
    1,970.39x = 1,932,154.44
  5. Step 5: Solve for x
    x = 1,932,154.44/1,970.39
  6. Step 6: Final answer
    x = 980.59

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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.