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Finding the Fourth Proportional to 2,896.90, 4,345.28 and 705.64

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Solution

The fourth proportional to 2,896.90, 4,345.28 and 705.64 is: 1,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.90 : 4,345.28 = 705.64 : x
  2. Step 2: Convert to fraction form
    2,896.90/4,345.28 = 705.64/x
  3. Step 3: Cross multiply
    2,896.90x = 4,345.28 × 705.64
  4. Step 4: Simplify right side
    2,896.90x = 3,066,181.65
  5. Step 5: Solve for x
    x = 3,066,181.65/2,896.90
  6. Step 6: Final answer
    x = 1,058.44

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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.