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Finding the Fourth Proportional to 1,415.23, 1,952.65 and 825.75

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Solution

The fourth proportional to 1,415.23, 1,952.65 and 825.75 is: 1,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.23 : 1,952.65 = 825.75 : x
  2. Step 2: Convert to fraction form
    1,415.23/1,952.65 = 825.75/x
  3. Step 3: Cross multiply
    1,415.23x = 1,952.65 × 825.75
  4. Step 4: Simplify right side
    1,415.23x = 1,612,400.74
  5. Step 5: Solve for x
    x = 1,612,400.74/1,415.23
  6. Step 6: Final answer
    x = 1,139.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.