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Finding the Fourth Proportional to 842.58, 1,162.26 and 510.84

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Solution

The fourth proportional to 842.58, 1,162.26 and 510.84 is: 704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.58 : 1,162.26 = 510.84 : x
  2. Step 2: Convert to fraction form
    842.58/1,162.26 = 510.84/x
  3. Step 3: Cross multiply
    842.58x = 1,162.26 × 510.84
  4. Step 4: Simplify right side
    842.58x = 593,728.90
  5. Step 5: Solve for x
    x = 593,728.90/842.58
  6. Step 6: Final answer
    x = 704.66

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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.