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Finding the Fourth Proportional to 1,051.56, 1,451.22 and 585.88

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Solution

The fourth proportional to 1,051.56, 1,451.22 and 585.88 is: 808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.56 : 1,451.22 = 585.88 : x
  2. Step 2: Convert to fraction form
    1,051.56/1,451.22 = 585.88/x
  3. Step 3: Cross multiply
    1,051.56x = 1,451.22 × 585.88
  4. Step 4: Simplify right side
    1,051.56x = 850,240.77
  5. Step 5: Solve for x
    x = 850,240.77/1,051.56
  6. Step 6: Final answer
    x = 808.55

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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.