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Finding the Fourth Proportional to 456.86, 684.07 and 348.32

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Solution

The fourth proportional to 456.86, 684.07 and 348.32 is: 521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 684.07 = 348.32 : x
  2. Step 2: Convert to fraction form
    456.86/684.07 = 348.32/x
  3. Step 3: Cross multiply
    456.86x = 684.07 × 348.32
  4. Step 4: Simplify right side
    456.86x = 238,270.97
  5. Step 5: Solve for x
    x = 238,270.97/456.86
  6. Step 6: Final answer
    x = 521.55

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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.