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Finding the Fourth Proportional to 468.09, 698.06 and 410.58

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Solution

The fourth proportional to 468.09, 698.06 and 410.58 is: 612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.09 : 698.06 = 410.58 : x
  2. Step 2: Convert to fraction form
    468.09/698.06 = 410.58/x
  3. Step 3: Cross multiply
    468.09x = 698.06 × 410.58
  4. Step 4: Simplify right side
    468.09x = 286,609.47
  5. Step 5: Solve for x
    x = 286,609.47/468.09
  6. Step 6: Final answer
    x = 612.30

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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.