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Finding the Fourth Proportional to 660.10, 910.07 and 410.99

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Solution

The fourth proportional to 660.10, 910.07 and 410.99 is: 566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 910.07 = 410.99 : x
  2. Step 2: Convert to fraction form
    660.10/910.07 = 410.99/x
  3. Step 3: Cross multiply
    660.10x = 910.07 × 410.99
  4. Step 4: Simplify right side
    660.10x = 374,026.15
  5. Step 5: Solve for x
    x = 374,026.15/660.10
  6. Step 6: Final answer
    x = 566.62

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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.