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Finding the Fourth Proportional to 661.68, 912.87 and 465.12

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Solution

The fourth proportional to 661.68, 912.87 and 465.12 is: 641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.68 : 912.87 = 465.12 : x
  2. Step 2: Convert to fraction form
    661.68/912.87 = 465.12/x
  3. Step 3: Cross multiply
    661.68x = 912.87 × 465.12
  4. Step 4: Simplify right side
    661.68x = 424,594.09
  5. Step 5: Solve for x
    x = 424,594.09/661.68
  6. Step 6: Final answer
    x = 641.69

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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.