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Finding the Fourth Proportional to 661.60, 913.07 and 381.84

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Solution

The fourth proportional to 661.60, 913.07 and 381.84 is: 526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.60 : 913.07 = 381.84 : x
  2. Step 2: Convert to fraction form
    661.60/913.07 = 381.84/x
  3. Step 3: Cross multiply
    661.60x = 913.07 × 381.84
  4. Step 4: Simplify right side
    661.60x = 348,646.65
  5. Step 5: Solve for x
    x = 348,646.65/661.60
  6. Step 6: Final answer
    x = 526.97

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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.