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Finding the Fourth Proportional to 480.06, 661.23 and 417.78

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Solution

The fourth proportional to 480.06, 661.23 and 417.78 is: 575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.06 : 661.23 = 417.78 : x
  2. Step 2: Convert to fraction form
    480.06/661.23 = 417.78/x
  3. Step 3: Cross multiply
    480.06x = 661.23 × 417.78
  4. Step 4: Simplify right side
    480.06x = 276,248.67
  5. Step 5: Solve for x
    x = 276,248.67/480.06
  6. Step 6: Final answer
    x = 575.45

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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.