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Finding the Fourth Proportional to 484.45, 723.03 and 464.40

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Solution

The fourth proportional to 484.45, 723.03 and 464.40 is: 693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.45 : 723.03 = 464.40 : x
  2. Step 2: Convert to fraction form
    484.45/723.03 = 464.40/x
  3. Step 3: Cross multiply
    484.45x = 723.03 × 464.40
  4. Step 4: Simplify right side
    484.45x = 335,773.39
  5. Step 5: Solve for x
    x = 335,773.39/484.45
  6. Step 6: Final answer
    x = 693.11

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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.