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Finding the Fourth Proportional to 502.14, 752.40 and 285.60

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Solution

The fourth proportional to 502.14, 752.40 and 285.60 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 752.40 = 285.60 : x
  2. Step 2: Convert to fraction form
    502.14/752.40 = 285.60/x
  3. Step 3: Cross multiply
    502.14x = 752.40 × 285.60
  4. Step 4: Simplify right side
    502.14x = 214,885.44
  5. Step 5: Solve for x
    x = 214,885.44/502.14
  6. Step 6: Final answer
    x = 427.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.