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Finding the Fourth Proportional to 542.63, 748.96 and 309.89

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Solution

The fourth proportional to 542.63, 748.96 and 309.89 is: 427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 748.96 = 309.89 : x
  2. Step 2: Convert to fraction form
    542.63/748.96 = 309.89/x
  3. Step 3: Cross multiply
    542.63x = 748.96 × 309.89
  4. Step 4: Simplify right side
    542.63x = 232,090.69
  5. Step 5: Solve for x
    x = 232,090.69/542.63
  6. Step 6: Final answer
    x = 427.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.