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Finding the Fourth Proportional to 2,970.66, 4,455.99 and 779.37

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Solution

The fourth proportional to 2,970.66, 4,455.99 and 779.37 is: 1,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.66 : 4,455.99 = 779.37 : x
  2. Step 2: Convert to fraction form
    2,970.66/4,455.99 = 779.37/x
  3. Step 3: Cross multiply
    2,970.66x = 4,455.99 × 779.37
  4. Step 4: Simplify right side
    2,970.66x = 3,472,864.93
  5. Step 5: Solve for x
    x = 3,472,864.93/2,970.66
  6. Step 6: Final answer
    x = 1,169.06

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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.