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Finding the Fourth Proportional to 508.41, 757.62 and 477.63

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Solution

The fourth proportional to 508.41, 757.62 and 477.63 is: 711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.41 : 757.62 = 477.63 : x
  2. Step 2: Convert to fraction form
    508.41/757.62 = 477.63/x
  3. Step 3: Cross multiply
    508.41x = 757.62 × 477.63
  4. Step 4: Simplify right side
    508.41x = 361,862.04
  5. Step 5: Solve for x
    x = 361,862.04/508.41
  6. Step 6: Final answer
    x = 711.75

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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.