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Finding the Fourth Proportional to 559.31, 843.62 and 491.67

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Solution

The fourth proportional to 559.31, 843.62 and 491.67 is: 741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.31 : 843.62 = 491.67 : x
  2. Step 2: Convert to fraction form
    559.31/843.62 = 491.67/x
  3. Step 3: Cross multiply
    559.31x = 843.62 × 491.67
  4. Step 4: Simplify right side
    559.31x = 414,780.19
  5. Step 5: Solve for x
    x = 414,780.19/559.31
  6. Step 6: Final answer
    x = 741.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.