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Finding the Fourth Proportional to 665.25, 918.36 and 417.18

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Solution

The fourth proportional to 665.25, 918.36 and 417.18 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.25 : 918.36 = 417.18 : x
  2. Step 2: Convert to fraction form
    665.25/918.36 = 417.18/x
  3. Step 3: Cross multiply
    665.25x = 918.36 × 417.18
  4. Step 4: Simplify right side
    665.25x = 383,121.42
  5. Step 5: Solve for x
    x = 383,121.42/665.25
  6. Step 6: Final answer
    x = 575.91

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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.