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Finding the Fourth Proportional to 1,048.50, 1,446.13 and 768.63

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Solution

The fourth proportional to 1,048.50, 1,446.13 and 768.63 is: 1,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.50 : 1,446.13 = 768.63 : x
  2. Step 2: Convert to fraction form
    1,048.50/1,446.13 = 768.63/x
  3. Step 3: Cross multiply
    1,048.50x = 1,446.13 × 768.63
  4. Step 4: Simplify right side
    1,048.50x = 1,111,538.90
  5. Step 5: Solve for x
    x = 1,111,538.90/1,048.50
  6. Step 6: Final answer
    x = 1,060.12

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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.