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Finding the Fourth Proportional to 482.82, 724.96 and 415.08

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Solution

The fourth proportional to 482.82, 724.96 and 415.08 is: 623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.82 : 724.96 = 415.08 : x
  2. Step 2: Convert to fraction form
    482.82/724.96 = 415.08/x
  3. Step 3: Cross multiply
    482.82x = 724.96 × 415.08
  4. Step 4: Simplify right side
    482.82x = 300,916.40
  5. Step 5: Solve for x
    x = 300,916.40/482.82
  6. Step 6: Final answer
    x = 623.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.