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Finding the Fourth Proportional to 483.76, 725.88 and 416.08

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Solution

The fourth proportional to 483.76, 725.88 and 416.08 is: 624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 725.88 = 416.08 : x
  2. Step 2: Convert to fraction form
    483.76/725.88 = 416.08/x
  3. Step 3: Cross multiply
    483.76x = 725.88 × 416.08
  4. Step 4: Simplify right side
    483.76x = 302,024.15
  5. Step 5: Solve for x
    x = 302,024.15/483.76
  6. Step 6: Final answer
    x = 624.33

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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.