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Finding the Fourth Proportional to 1,365.86, 2,048.82 and 635.38

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Solution

The fourth proportional to 1,365.86, 2,048.82 and 635.38 is: 953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.86 : 2,048.82 = 635.38 : x
  2. Step 2: Convert to fraction form
    1,365.86/2,048.82 = 635.38/x
  3. Step 3: Cross multiply
    1,365.86x = 2,048.82 × 635.38
  4. Step 4: Simplify right side
    1,365.86x = 1,301,779.25
  5. Step 5: Solve for x
    x = 1,301,779.25/1,365.86
  6. Step 6: Final answer
    x = 953.08

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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.