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Finding the Fourth Proportional to 508.10, 758.68 and 416.98

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Solution

The fourth proportional to 508.10, 758.68 and 416.98 is: 622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.10 : 758.68 = 416.98 : x
  2. Step 2: Convert to fraction form
    508.10/758.68 = 416.98/x
  3. Step 3: Cross multiply
    508.10x = 758.68 × 416.98
  4. Step 4: Simplify right side
    508.10x = 316,350.59
  5. Step 5: Solve for x
    x = 316,350.59/508.10
  6. Step 6: Final answer
    x = 622.61

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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.