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Finding the Fourth Proportional to 1,709.17, 2,563.76 and 978.23

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Solution

The fourth proportional to 1,709.17, 2,563.76 and 978.23 is: 1,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.17 : 2,563.76 = 978.23 : x
  2. Step 2: Convert to fraction form
    1,709.17/2,563.76 = 978.23/x
  3. Step 3: Cross multiply
    1,709.17x = 2,563.76 × 978.23
  4. Step 4: Simplify right side
    1,709.17x = 2,507,946.94
  5. Step 5: Solve for x
    x = 2,507,946.94/1,709.17
  6. Step 6: Final answer
    x = 1,467.35

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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.