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Finding the Fourth Proportional to 1,073.57, 1,481.54 and 619.40

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Solution

The fourth proportional to 1,073.57, 1,481.54 and 619.40 is: 854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.57 : 1,481.54 = 619.40 : x
  2. Step 2: Convert to fraction form
    1,073.57/1,481.54 = 619.40/x
  3. Step 3: Cross multiply
    1,073.57x = 1,481.54 × 619.40
  4. Step 4: Simplify right side
    1,073.57x = 917,666.48
  5. Step 5: Solve for x
    x = 917,666.48/1,073.57
  6. Step 6: Final answer
    x = 854.78

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1.5x scale

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.