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Finding the Fourth Proportional to 508.14, 758.94 and 415.80

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Solution

The fourth proportional to 508.14, 758.94 and 415.80 is: 621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.14 : 758.94 = 415.80 : x
  2. Step 2: Convert to fraction form
    508.14/758.94 = 415.80/x
  3. Step 3: Cross multiply
    508.14x = 758.94 × 415.80
  4. Step 4: Simplify right side
    508.14x = 315,567.25
  5. Step 5: Solve for x
    x = 315,567.25/508.14
  6. Step 6: Final answer
    x = 621.02

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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.