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Finding the Fourth Proportional to 484.80, 723.87 and 420

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Solution

The fourth proportional to 484.80, 723.87 and 420 is: 627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.80 : 723.87 = 420 : x
  2. Step 2: Convert to fraction form
    484.80/723.87 = 420/x
  3. Step 3: Cross multiply
    484.80x = 723.87 × 420
  4. Step 4: Simplify right side
    484.80x = 304,025.40
  5. Step 5: Solve for x
    x = 304,025.40/484.80
  6. Step 6: Final answer
    x = 627.12

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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.