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Finding the Fourth Proportional to 508.45, 759.22 and 417.33

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Solution

The fourth proportional to 508.45, 759.22 and 417.33 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.45 : 759.22 = 417.33 : x
  2. Step 2: Convert to fraction form
    508.45/759.22 = 417.33/x
  3. Step 3: Cross multiply
    508.45x = 759.22 × 417.33
  4. Step 4: Simplify right side
    508.45x = 316,845.28
  5. Step 5: Solve for x
    x = 316,845.28/508.45
  6. Step 6: Final answer
    x = 623.16

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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.