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Finding the Fourth Proportional to 482.87, 727.13 and 346.86

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Solution

The fourth proportional to 482.87, 727.13 and 346.86 is: 522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.87 : 727.13 = 346.86 : x
  2. Step 2: Convert to fraction form
    482.87/727.13 = 346.86/x
  3. Step 3: Cross multiply
    482.87x = 727.13 × 346.86
  4. Step 4: Simplify right side
    482.87x = 252,210.58
  5. Step 5: Solve for x
    x = 252,210.58/482.87
  6. Step 6: Final answer
    x = 522.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.