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Finding the Fourth Proportional to 665.92, 919.08 and 417.45

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Solution

The fourth proportional to 665.92, 919.08 and 417.45 is: 576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.92 : 919.08 = 417.45 : x
  2. Step 2: Convert to fraction form
    665.92/919.08 = 417.45/x
  3. Step 3: Cross multiply
    665.92x = 919.08 × 417.45
  4. Step 4: Simplify right side
    665.92x = 383,670.99
  5. Step 5: Solve for x
    x = 383,670.99/665.92
  6. Step 6: Final answer
    x = 576.16

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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.