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Finding the Fourth Proportional to 456.86, 684.55 and 320.06

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Solution

The fourth proportional to 456.86, 684.55 and 320.06 is: 479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 684.55 = 320.06 : x
  2. Step 2: Convert to fraction form
    456.86/684.55 = 320.06/x
  3. Step 3: Cross multiply
    456.86x = 684.55 × 320.06
  4. Step 4: Simplify right side
    456.86x = 219,097.07
  5. Step 5: Solve for x
    x = 219,097.07/456.86
  6. Step 6: Final answer
    x = 479.57

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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.