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Finding the Fourth Proportional to 1,953.30, 2,927.97 and 653.70

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Solution

The fourth proportional to 1,953.30, 2,927.97 and 653.70 is: 979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.30 : 2,927.97 = 653.70 : x
  2. Step 2: Convert to fraction form
    1,953.30/2,927.97 = 653.70/x
  3. Step 3: Cross multiply
    1,953.30x = 2,927.97 × 653.70
  4. Step 4: Simplify right side
    1,953.30x = 1,914,013.99
  5. Step 5: Solve for x
    x = 1,914,013.99/1,953.30
  6. Step 6: Final answer
    x = 979.89

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1.5x scale

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.