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Finding the Fourth Proportional to 1,048.50, 1,446.95 and 576.39

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Solution

The fourth proportional to 1,048.50, 1,446.95 and 576.39 is: 795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.50 : 1,446.95 = 576.39 : x
  2. Step 2: Convert to fraction form
    1,048.50/1,446.95 = 576.39/x
  3. Step 3: Cross multiply
    1,048.50x = 1,446.95 × 576.39
  4. Step 4: Simplify right side
    1,048.50x = 833,997.39
  5. Step 5: Solve for x
    x = 833,997.39/1,048.50
  6. Step 6: Final answer
    x = 795.42

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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.