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Finding the Fourth Proportional to 508.53, 759.09 and 476.49

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Solution

The fourth proportional to 508.53, 759.09 and 476.49 is: 711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.53 : 759.09 = 476.49 : x
  2. Step 2: Convert to fraction form
    508.53/759.09 = 476.49/x
  3. Step 3: Cross multiply
    508.53x = 759.09 × 476.49
  4. Step 4: Simplify right side
    508.53x = 361,698.79
  5. Step 5: Solve for x
    x = 361,698.79/508.53
  6. Step 6: Final answer
    x = 711.26

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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.