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Finding the Fourth Proportional to 1,117.72, 1,673.49 and 842.98

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Solution

The fourth proportional to 1,117.72, 1,673.49 and 842.98 is: 1,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.72 : 1,673.49 = 842.98 : x
  2. Step 2: Convert to fraction form
    1,117.72/1,673.49 = 842.98/x
  3. Step 3: Cross multiply
    1,117.72x = 1,673.49 × 842.98
  4. Step 4: Simplify right side
    1,117.72x = 1,410,718.60
  5. Step 5: Solve for x
    x = 1,410,718.60/1,117.72
  6. Step 6: Final answer
    x = 1,262.14

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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.