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Finding the Fourth Proportional to 523.77, 723.03 and 358.83

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Solution

The fourth proportional to 523.77, 723.03 and 358.83 is: 495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.77 : 723.03 = 358.83 : x
  2. Step 2: Convert to fraction form
    523.77/723.03 = 358.83/x
  3. Step 3: Cross multiply
    523.77x = 723.03 × 358.83
  4. Step 4: Simplify right side
    523.77x = 259,443.51
  5. Step 5: Solve for x
    x = 259,443.51/523.77
  6. Step 6: Final answer
    x = 495.34

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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.