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Finding the Fourth Proportional to 605.90, 906.15 and 508.70

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Solution

The fourth proportional to 605.90, 906.15 and 508.70 is: 760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.90 : 906.15 = 508.70 : x
  2. Step 2: Convert to fraction form
    605.90/906.15 = 508.70/x
  3. Step 3: Cross multiply
    605.90x = 906.15 × 508.70
  4. Step 4: Simplify right side
    605.90x = 460,958.51
  5. Step 5: Solve for x
    x = 460,958.51/605.90
  6. Step 6: Final answer
    x = 760.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.