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Finding the Fourth Proportional to 407.69, 607.33 and 382.48

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Solution

The fourth proportional to 407.69, 607.33 and 382.48 is: 569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.69 : 607.33 = 382.48 : x
  2. Step 2: Convert to fraction form
    407.69/607.33 = 382.48/x
  3. Step 3: Cross multiply
    407.69x = 607.33 × 382.48
  4. Step 4: Simplify right side
    407.69x = 232,293.95
  5. Step 5: Solve for x
    x = 232,293.95/407.69
  6. Step 6: Final answer
    x = 569.77

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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.