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Finding the Fourth Proportional to 1,048.95, 1,446.05 and 716.85

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Solution

The fourth proportional to 1,048.95, 1,446.05 and 716.85 is: 988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.95 : 1,446.05 = 716.85 : x
  2. Step 2: Convert to fraction form
    1,048.95/1,446.05 = 716.85/x
  3. Step 3: Cross multiply
    1,048.95x = 1,446.05 × 716.85
  4. Step 4: Simplify right side
    1,048.95x = 1,036,602.73
  5. Step 5: Solve for x
    x = 1,036,602.73/1,048.95
  6. Step 6: Final answer
    x = 988.23

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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.