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Finding the Fourth Proportional to 523.23, 722.04 and 302.17

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Solution

The fourth proportional to 523.23, 722.04 and 302.17 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 722.04 = 302.17 : x
  2. Step 2: Convert to fraction form
    523.23/722.04 = 302.17/x
  3. Step 3: Cross multiply
    523.23x = 722.04 × 302.17
  4. Step 4: Simplify right side
    523.23x = 218,178.83
  5. Step 5: Solve for x
    x = 218,178.83/523.23
  6. Step 6: Final answer
    x = 416.98

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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.