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Finding the Fourth Proportional to 456.00, 684.46 and 307.74

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Solution

The fourth proportional to 456.00, 684.46 and 307.74 is: 461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.00 : 684.46 = 307.74 : x
  2. Step 2: Convert to fraction form
    456.00/684.46 = 307.74/x
  3. Step 3: Cross multiply
    456.00x = 684.46 × 307.74
  4. Step 4: Simplify right side
    456.00x = 210,632.47
  5. Step 5: Solve for x
    x = 210,632.47/456.00
  6. Step 6: Final answer
    x = 461.91

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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.