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Finding the Fourth Proportional to 480.35, 661.56 and 418.16

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Solution

The fourth proportional to 480.35, 661.56 and 418.16 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.35 : 661.56 = 418.16 : x
  2. Step 2: Convert to fraction form
    480.35/661.56 = 418.16/x
  3. Step 3: Cross multiply
    480.35x = 661.56 × 418.16
  4. Step 4: Simplify right side
    480.35x = 276,637.93
  5. Step 5: Solve for x
    x = 276,637.93/480.35
  6. Step 6: Final answer
    x = 575.91

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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.