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Finding the Fourth Proportional to 681.36, 1,021.12 and 315.35

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Solution

The fourth proportional to 681.36, 1,021.12 and 315.35 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.36 : 1,021.12 = 315.35 : x
  2. Step 2: Convert to fraction form
    681.36/1,021.12 = 315.35/x
  3. Step 3: Cross multiply
    681.36x = 1,021.12 × 315.35
  4. Step 4: Simplify right side
    681.36x = 322,011.96
  5. Step 5: Solve for x
    x = 322,011.96/681.36
  6. Step 6: Final answer
    x = 472.60

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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.