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Finding the Fourth Proportional to 427.84, 588.92 and 385.68

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Solution

The fourth proportional to 427.84, 588.92 and 385.68 is: 530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 588.92 = 385.68 : x
  2. Step 2: Convert to fraction form
    427.84/588.92 = 385.68/x
  3. Step 3: Cross multiply
    427.84x = 588.92 × 385.68
  4. Step 4: Simplify right side
    427.84x = 227,134.67
  5. Step 5: Solve for x
    x = 227,134.67/427.84
  6. Step 6: Final answer
    x = 530.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.