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Finding the Fourth Proportional to 666.18, 919.78 and 417.60

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Solution

The fourth proportional to 666.18, 919.78 and 417.60 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.18 : 919.78 = 417.60 : x
  2. Step 2: Convert to fraction form
    666.18/919.78 = 417.60/x
  3. Step 3: Cross multiply
    666.18x = 919.78 × 417.60
  4. Step 4: Simplify right side
    666.18x = 384,100.13
  5. Step 5: Solve for x
    x = 384,100.13/666.18
  6. Step 6: Final answer
    x = 576.57

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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.