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Finding the Fourth Proportional to 539.68, 744.24 and 384.88

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Solution

The fourth proportional to 539.68, 744.24 and 384.88 is: 530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.68 : 744.24 = 384.88 : x
  2. Step 2: Convert to fraction form
    539.68/744.24 = 384.88/x
  3. Step 3: Cross multiply
    539.68x = 744.24 × 384.88
  4. Step 4: Simplify right side
    539.68x = 286,443.09
  5. Step 5: Solve for x
    x = 286,443.09/539.68
  6. Step 6: Final answer
    x = 530.76

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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.