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Finding the Fourth Proportional to 1,051.97, 1,577.73 and 393.82

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Solution

The fourth proportional to 1,051.97, 1,577.73 and 393.82 is: 590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.97 : 1,577.73 = 393.82 : x
  2. Step 2: Convert to fraction form
    1,051.97/1,577.73 = 393.82/x
  3. Step 3: Cross multiply
    1,051.97x = 1,577.73 × 393.82
  4. Step 4: Simplify right side
    1,051.97x = 621,341.38
  5. Step 5: Solve for x
    x = 621,341.38/1,051.97
  6. Step 6: Final answer
    x = 590.65

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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.