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Finding the Fourth Proportional to 605.10, 835.29 and 457.77

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Solution

The fourth proportional to 605.10, 835.29 and 457.77 is: 631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.10 : 835.29 = 457.77 : x
  2. Step 2: Convert to fraction form
    605.10/835.29 = 457.77/x
  3. Step 3: Cross multiply
    605.10x = 835.29 × 457.77
  4. Step 4: Simplify right side
    605.10x = 382,370.70
  5. Step 5: Solve for x
    x = 382,370.70/605.10
  6. Step 6: Final answer
    x = 631.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.