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Finding the Fourth Proportional to 508.44, 757.77 and 482.52

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Solution

The fourth proportional to 508.44, 757.77 and 482.52 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.44 : 757.77 = 482.52 : x
  2. Step 2: Convert to fraction form
    508.44/757.77 = 482.52/x
  3. Step 3: Cross multiply
    508.44x = 757.77 × 482.52
  4. Step 4: Simplify right side
    508.44x = 365,639.18
  5. Step 5: Solve for x
    x = 365,639.18/508.44
  6. Step 6: Final answer
    x = 719.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.