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Finding the Fourth Proportional to 1,118.86, 1,684.20 and 1,020.46

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Solution

The fourth proportional to 1,118.86, 1,684.20 and 1,020.46 is: 1,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.86 : 1,684.20 = 1,020.46 : x
  2. Step 2: Convert to fraction form
    1,118.86/1,684.20 = 1,020.46/x
  3. Step 3: Cross multiply
    1,118.86x = 1,684.20 × 1,020.46
  4. Step 4: Simplify right side
    1,118.86x = 1,718,658.73
  5. Step 5: Solve for x
    x = 1,718,658.73/1,118.86
  6. Step 6: Final answer
    x = 1,536.08

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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.