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Finding the Fourth Proportional to 1,571.10, 2,355.84 and 646.28

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Solution

The fourth proportional to 1,571.10, 2,355.84 and 646.28 is: 969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.10 : 2,355.84 = 646.28 : x
  2. Step 2: Convert to fraction form
    1,571.10/2,355.84 = 646.28/x
  3. Step 3: Cross multiply
    1,571.10x = 2,355.84 × 646.28
  4. Step 4: Simplify right side
    1,571.10x = 1,522,532.28
  5. Step 5: Solve for x
    x = 1,522,532.28/1,571.10
  6. Step 6: Final answer
    x = 969.09

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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.