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Finding the Fourth Proportional to 538.84, 802.86 and 481.32

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Solution

The fourth proportional to 538.84, 802.86 and 481.32 is: 717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.84 : 802.86 = 481.32 : x
  2. Step 2: Convert to fraction form
    538.84/802.86 = 481.32/x
  3. Step 3: Cross multiply
    538.84x = 802.86 × 481.32
  4. Step 4: Simplify right side
    538.84x = 386,432.58
  5. Step 5: Solve for x
    x = 386,432.58/538.84
  6. Step 6: Final answer
    x = 717.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.