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Finding the Fourth Proportional to 1,977.01, 2,964.52 and 660.30

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Solution

The fourth proportional to 1,977.01, 2,964.52 and 660.30 is: 990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.01 : 2,964.52 = 660.30 : x
  2. Step 2: Convert to fraction form
    1,977.01/2,964.52 = 660.30/x
  3. Step 3: Cross multiply
    1,977.01x = 2,964.52 × 660.30
  4. Step 4: Simplify right side
    1,977.01x = 1,957,456.08
  5. Step 5: Solve for x
    x = 1,957,456.08/1,977.01
  6. Step 6: Final answer
    x = 990.11

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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.