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Finding the Fourth Proportional to 661.65, 912.75 and 440.31

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Solution

The fourth proportional to 661.65, 912.75 and 440.31 is: 607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.65 : 912.75 = 440.31 : x
  2. Step 2: Convert to fraction form
    661.65/912.75 = 440.31/x
  3. Step 3: Cross multiply
    661.65x = 912.75 × 440.31
  4. Step 4: Simplify right side
    661.65x = 401,894.72
  5. Step 5: Solve for x
    x = 401,894.72/661.65
  6. Step 6: Final answer
    x = 607.42

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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.