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Finding the Fourth Proportional to 665.32, 918.42 and 416.58

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Solution

The fourth proportional to 665.32, 918.42 and 416.58 is: 575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.32 : 918.42 = 416.58 : x
  2. Step 2: Convert to fraction form
    665.32/918.42 = 416.58/x
  3. Step 3: Cross multiply
    665.32x = 918.42 × 416.58
  4. Step 4: Simplify right side
    665.32x = 382,595.40
  5. Step 5: Solve for x
    x = 382,595.40/665.32
  6. Step 6: Final answer
    x = 575.06

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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.