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Finding the Fourth Proportional to 2,970.17, 4,454.91 and 779.07

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Solution

The fourth proportional to 2,970.17, 4,454.91 and 779.07 is: 1,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.17 : 4,454.91 = 779.07 : x
  2. Step 2: Convert to fraction form
    2,970.17/4,454.91 = 779.07/x
  3. Step 3: Cross multiply
    2,970.17x = 4,454.91 × 779.07
  4. Step 4: Simplify right side
    2,970.17x = 3,470,682.84
  5. Step 5: Solve for x
    x = 3,470,682.84/2,970.17
  6. Step 6: Final answer
    x = 1,168.52

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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.