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Finding the Fourth Proportional to 1,571.41, 2,355.58 and 647.61

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Solution

The fourth proportional to 1,571.41, 2,355.58 and 647.61 is: 970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.41 : 2,355.58 = 647.61 : x
  2. Step 2: Convert to fraction form
    1,571.41/2,355.58 = 647.61/x
  3. Step 3: Cross multiply
    1,571.41x = 2,355.58 × 647.61
  4. Step 4: Simplify right side
    1,571.41x = 1,525,507.36
  5. Step 5: Solve for x
    x = 1,525,507.36/1,571.41
  6. Step 6: Final answer
    x = 970.79

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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.