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Finding the Fourth Proportional to 542.97, 814.44 and 435.45

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Solution

The fourth proportional to 542.97, 814.44 and 435.45 is: 653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.97 : 814.44 = 435.45 : x
  2. Step 2: Convert to fraction form
    542.97/814.44 = 435.45/x
  3. Step 3: Cross multiply
    542.97x = 814.44 × 435.45
  4. Step 4: Simplify right side
    542.97x = 354,647.90
  5. Step 5: Solve for x
    x = 354,647.90/542.97
  6. Step 6: Final answer
    x = 653.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.