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Finding the Fourth Proportional to 606.99, 837.90 and 410.77

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Solution

The fourth proportional to 606.99, 837.90 and 410.77 is: 567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.99 : 837.90 = 410.77 : x
  2. Step 2: Convert to fraction form
    606.99/837.90 = 410.77/x
  3. Step 3: Cross multiply
    606.99x = 837.90 × 410.77
  4. Step 4: Simplify right side
    606.99x = 344,184.18
  5. Step 5: Solve for x
    x = 344,184.18/606.99
  6. Step 6: Final answer
    x = 567.03

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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.