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Finding the Fourth Proportional to 506.80, 700.20 and 467.92

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Solution

The fourth proportional to 506.80, 700.20 and 467.92 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 700.20 = 467.92 : x
  2. Step 2: Convert to fraction form
    506.80/700.20 = 467.92/x
  3. Step 3: Cross multiply
    506.80x = 700.20 × 467.92
  4. Step 4: Simplify right side
    506.80x = 327,637.58
  5. Step 5: Solve for x
    x = 327,637.58/506.80
  6. Step 6: Final answer
    x = 646.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.