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Finding the Fourth Proportional to 538.10, 811.96 and 487.70

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Solution

The fourth proportional to 538.10, 811.96 and 487.70 is: 735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.10 : 811.96 = 487.70 : x
  2. Step 2: Convert to fraction form
    538.10/811.96 = 487.70/x
  3. Step 3: Cross multiply
    538.10x = 811.96 × 487.70
  4. Step 4: Simplify right side
    538.10x = 395,990.45
  5. Step 5: Solve for x
    x = 395,990.45/538.10
  6. Step 6: Final answer
    x = 735.90

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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.