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Finding the Fourth Proportional to 543.55, 815.37 and 399.10

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Solution

The fourth proportional to 543.55, 815.37 and 399.10 is: 598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.55 : 815.37 = 399.10 : x
  2. Step 2: Convert to fraction form
    543.55/815.37 = 399.10/x
  3. Step 3: Cross multiply
    543.55x = 815.37 × 399.10
  4. Step 4: Simplify right side
    543.55x = 325,414.17
  5. Step 5: Solve for x
    x = 325,414.17/543.55
  6. Step 6: Final answer
    x = 598.68

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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.