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Finding the Fourth Proportional to 1,968.97, 2,953.55 and 652.85

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Solution

The fourth proportional to 1,968.97, 2,953.55 and 652.85 is: 979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.97 : 2,953.55 = 652.85 : x
  2. Step 2: Convert to fraction form
    1,968.97/2,953.55 = 652.85/x
  3. Step 3: Cross multiply
    1,968.97x = 2,953.55 × 652.85
  4. Step 4: Simplify right side
    1,968.97x = 1,928,210.35
  5. Step 5: Solve for x
    x = 1,928,210.35/1,968.97
  6. Step 6: Final answer
    x = 979.30

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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.