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Finding the Fourth Proportional to 1,051.42, 1,450.44 and 631.57

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Solution

The fourth proportional to 1,051.42, 1,450.44 and 631.57 is: 871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.42 : 1,450.44 = 631.57 : x
  2. Step 2: Convert to fraction form
    1,051.42/1,450.44 = 631.57/x
  3. Step 3: Cross multiply
    1,051.42x = 1,450.44 × 631.57
  4. Step 4: Simplify right side
    1,051.42x = 916,054.39
  5. Step 5: Solve for x
    x = 916,054.39/1,051.42
  6. Step 6: Final answer
    x = 871.25

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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.