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Finding the Fourth Proportional to 407.04, 606.72 and 382.08

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Solution

The fourth proportional to 407.04, 606.72 and 382.08 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 606.72 = 382.08 : x
  2. Step 2: Convert to fraction form
    407.04/606.72 = 382.08/x
  3. Step 3: Cross multiply
    407.04x = 606.72 × 382.08
  4. Step 4: Simplify right side
    407.04x = 231,815.58
  5. Step 5: Solve for x
    x = 231,815.58/407.04
  6. Step 6: Final answer
    x = 569.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.