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Finding the Fourth Proportional to 523.84, 723.00 and 346.81

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Solution

The fourth proportional to 523.84, 723.00 and 346.81 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 723.00 = 346.81 : x
  2. Step 2: Convert to fraction form
    523.84/723.00 = 346.81/x
  3. Step 3: Cross multiply
    523.84x = 723.00 × 346.81
  4. Step 4: Simplify right side
    523.84x = 250,743.12
  5. Step 5: Solve for x
    x = 250,743.12/523.84
  6. Step 6: Final answer
    x = 478.66

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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.