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Finding the Fourth Proportional to 1,412.72, 2,119.06 and 425.52

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Solution

The fourth proportional to 1,412.72, 2,119.06 and 425.52 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.72 : 2,119.06 = 425.52 : x
  2. Step 2: Convert to fraction form
    1,412.72/2,119.06 = 425.52/x
  3. Step 3: Cross multiply
    1,412.72x = 2,119.06 × 425.52
  4. Step 4: Simplify right side
    1,412.72x = 901,701.35
  5. Step 5: Solve for x
    x = 901,701.35/1,412.72
  6. Step 6: Final answer
    x = 638.28

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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.