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Finding the Fourth Proportional to 523.44, 723 and 368.88

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Solution

The fourth proportional to 523.44, 723 and 368.88 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 723 = 368.88 : x
  2. Step 2: Convert to fraction form
    523.44/723 = 368.88/x
  3. Step 3: Cross multiply
    523.44x = 723 × 368.88
  4. Step 4: Simplify right side
    523.44x = 266,700.24
  5. Step 5: Solve for x
    x = 266,700.24/523.44
  6. Step 6: Final answer
    x = 509.51

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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.