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Finding the Fourth Proportional to 482.40, 720.54 and 414.12

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Solution

The fourth proportional to 482.40, 720.54 and 414.12 is: 618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.40 : 720.54 = 414.12 : x
  2. Step 2: Convert to fraction form
    482.40/720.54 = 414.12/x
  3. Step 3: Cross multiply
    482.40x = 720.54 × 414.12
  4. Step 4: Simplify right side
    482.40x = 298,390.02
  5. Step 5: Solve for x
    x = 298,390.02/482.40
  6. Step 6: Final answer
    x = 618.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.