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Finding the Fourth Proportional to 456.15, 684.71 and 405.12

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Solution

The fourth proportional to 456.15, 684.71 and 405.12 is: 608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.15 : 684.71 = 405.12 : x
  2. Step 2: Convert to fraction form
    456.15/684.71 = 405.12/x
  3. Step 3: Cross multiply
    456.15x = 684.71 × 405.12
  4. Step 4: Simplify right side
    456.15x = 277,387.69
  5. Step 5: Solve for x
    x = 277,387.69/456.15
  6. Step 6: Final answer
    x = 608.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.