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Finding the Fourth Proportional to 1,315.68, 1,815.53 and 842.74

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Solution

The fourth proportional to 1,315.68, 1,815.53 and 842.74 is: 1,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.68 : 1,815.53 = 842.74 : x
  2. Step 2: Convert to fraction form
    1,315.68/1,815.53 = 842.74/x
  3. Step 3: Cross multiply
    1,315.68x = 1,815.53 × 842.74
  4. Step 4: Simplify right side
    1,315.68x = 1,530,023.93
  5. Step 5: Solve for x
    x = 1,530,023.93/1,315.68
  6. Step 6: Final answer
    x = 1,162.91

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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.