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Finding the Fourth Proportional to 502.72, 758.58 and 483.74

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Solution

The fourth proportional to 502.72, 758.58 and 483.74 is: 729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.72 : 758.58 = 483.74 : x
  2. Step 2: Convert to fraction form
    502.72/758.58 = 483.74/x
  3. Step 3: Cross multiply
    502.72x = 758.58 × 483.74
  4. Step 4: Simplify right side
    502.72x = 366,955.45
  5. Step 5: Solve for x
    x = 366,955.45/502.72
  6. Step 6: Final answer
    x = 729.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.