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Finding the Fourth Proportional to 1,970.09, 2,953.05 and 653.50

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Solution

The fourth proportional to 1,970.09, 2,953.05 and 653.50 is: 979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.09 : 2,953.05 = 653.50 : x
  2. Step 2: Convert to fraction form
    1,970.09/2,953.05 = 653.50/x
  3. Step 3: Cross multiply
    1,970.09x = 2,953.05 × 653.50
  4. Step 4: Simplify right side
    1,970.09x = 1,929,818.18
  5. Step 5: Solve for x
    x = 1,929,818.18/1,970.09
  6. Step 6: Final answer
    x = 979.56

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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.