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Finding the Fourth Proportional to 1,571.98, 2,357.96 and 646.89

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Solution

The fourth proportional to 1,571.98, 2,357.96 and 646.89 is: 970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.98 : 2,357.96 = 646.89 : x
  2. Step 2: Convert to fraction form
    1,571.98/2,357.96 = 646.89/x
  3. Step 3: Cross multiply
    1,571.98x = 2,357.96 × 646.89
  4. Step 4: Simplify right side
    1,571.98x = 1,525,328.95
  5. Step 5: Solve for x
    x = 1,525,328.95/1,571.98
  6. Step 6: Final answer
    x = 970.33

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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.