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Finding the Fourth Proportional to 1,362.75, 2,042.50 and 630.77

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Solution

The fourth proportional to 1,362.75, 2,042.50 and 630.77 is: 945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.75 : 2,042.50 = 630.77 : x
  2. Step 2: Convert to fraction form
    1,362.75/2,042.50 = 630.77/x
  3. Step 3: Cross multiply
    1,362.75x = 2,042.50 × 630.77
  4. Step 4: Simplify right side
    1,362.75x = 1,288,347.73
  5. Step 5: Solve for x
    x = 1,288,347.73/1,362.75
  6. Step 6: Final answer
    x = 945.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.