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Finding the Fourth Proportional to 538.98, 804.05 and 458.34

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Solution

The fourth proportional to 538.98, 804.05 and 458.34 is: 683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.98 : 804.05 = 458.34 : x
  2. Step 2: Convert to fraction form
    538.98/804.05 = 458.34/x
  3. Step 3: Cross multiply
    538.98x = 804.05 × 458.34
  4. Step 4: Simplify right side
    538.98x = 368,525.99
  5. Step 5: Solve for x
    x = 368,525.99/538.98
  6. Step 6: Final answer
    x = 683.75

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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.