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Finding the Fourth Proportional to 1,023.94, 1,535.91 and 842.45

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Solution

The fourth proportional to 1,023.94, 1,535.91 and 842.45 is: 1,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.94 : 1,535.91 = 842.45 : x
  2. Step 2: Convert to fraction form
    1,023.94/1,535.91 = 842.45/x
  3. Step 3: Cross multiply
    1,023.94x = 1,535.91 × 842.45
  4. Step 4: Simplify right side
    1,023.94x = 1,293,929.92
  5. Step 5: Solve for x
    x = 1,293,929.92/1,023.94
  6. Step 6: Final answer
    x = 1,263.68

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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.