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Finding the Fourth Proportional to 523.55, 723.47 and 398.99

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Solution

The fourth proportional to 523.55, 723.47 and 398.99 is: 551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 723.47 = 398.99 : x
  2. Step 2: Convert to fraction form
    523.55/723.47 = 398.99/x
  3. Step 3: Cross multiply
    523.55x = 723.47 × 398.99
  4. Step 4: Simplify right side
    523.55x = 288,657.11
  5. Step 5: Solve for x
    x = 288,657.11/523.55
  6. Step 6: Final answer
    x = 551.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.