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Finding the Fourth Proportional to 484.40, 723.52 and 416.18

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Solution

The fourth proportional to 484.40, 723.52 and 416.18 is: 621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.40 : 723.52 = 416.18 : x
  2. Step 2: Convert to fraction form
    484.40/723.52 = 416.18/x
  3. Step 3: Cross multiply
    484.40x = 723.52 × 416.18
  4. Step 4: Simplify right side
    484.40x = 301,114.55
  5. Step 5: Solve for x
    x = 301,114.55/484.40
  6. Step 6: Final answer
    x = 621.62

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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.