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Finding the Fourth Proportional to 1,071.76, 1,607.64 and 494.56

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Solution

The fourth proportional to 1,071.76, 1,607.64 and 494.56 is: 741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.76 : 1,607.64 = 494.56 : x
  2. Step 2: Convert to fraction form
    1,071.76/1,607.64 = 494.56/x
  3. Step 3: Cross multiply
    1,071.76x = 1,607.64 × 494.56
  4. Step 4: Simplify right side
    1,071.76x = 795,074.44
  5. Step 5: Solve for x
    x = 795,074.44/1,071.76
  6. Step 6: Final answer
    x = 741.84

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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.