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Finding the Fourth Proportional to 1,078.50, 1,488.42 and 612.84

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Solution

The fourth proportional to 1,078.50, 1,488.42 and 612.84 is: 845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.50 : 1,488.42 = 612.84 : x
  2. Step 2: Convert to fraction form
    1,078.50/1,488.42 = 612.84/x
  3. Step 3: Cross multiply
    1,078.50x = 1,488.42 × 612.84
  4. Step 4: Simplify right side
    1,078.50x = 912,163.31
  5. Step 5: Solve for x
    x = 912,163.31/1,078.50
  6. Step 6: Final answer
    x = 845.77

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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.