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Finding the Fourth Proportional to 461.09, 688.60 and 410.06

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Solution

The fourth proportional to 461.09, 688.60 and 410.06 is: 612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.09 : 688.60 = 410.06 : x
  2. Step 2: Convert to fraction form
    461.09/688.60 = 410.06/x
  3. Step 3: Cross multiply
    461.09x = 688.60 × 410.06
  4. Step 4: Simplify right side
    461.09x = 282,369.55
  5. Step 5: Solve for x
    x = 282,369.55/461.09
  6. Step 6: Final answer
    x = 612.39

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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.