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Finding the Fourth Proportional to 661.74, 912.99 and 381.94

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Solution

The fourth proportional to 661.74, 912.99 and 381.94 is: 526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.74 : 912.99 = 381.94 : x
  2. Step 2: Convert to fraction form
    661.74/912.99 = 381.94/x
  3. Step 3: Cross multiply
    661.74x = 912.99 × 381.94
  4. Step 4: Simplify right side
    661.74x = 348,705.12
  5. Step 5: Solve for x
    x = 348,705.12/661.74
  6. Step 6: Final answer
    x = 526.95

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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.