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Finding the Fourth Proportional to 1,051.83, 1,451.43 and 579.65

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Solution

The fourth proportional to 1,051.83, 1,451.43 and 579.65 is: 799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.83 : 1,451.43 = 579.65 : x
  2. Step 2: Convert to fraction form
    1,051.83/1,451.43 = 579.65/x
  3. Step 3: Cross multiply
    1,051.83x = 1,451.43 × 579.65
  4. Step 4: Simplify right side
    1,051.83x = 841,314.14
  5. Step 5: Solve for x
    x = 841,314.14/1,051.83
  6. Step 6: Final answer
    x = 799.86

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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.