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Finding the Fourth Proportional to 538.81, 811.43 and 474.50

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Solution

The fourth proportional to 538.81, 811.43 and 474.50 is: 714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.81 : 811.43 = 474.50 : x
  2. Step 2: Convert to fraction form
    538.81/811.43 = 474.50/x
  3. Step 3: Cross multiply
    538.81x = 811.43 × 474.50
  4. Step 4: Simplify right side
    538.81x = 385,023.54
  5. Step 5: Solve for x
    x = 385,023.54/538.81
  6. Step 6: Final answer
    x = 714.58

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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.