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Finding the Fourth Proportional to 543.04, 815.64 and 398.32

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Solution

The fourth proportional to 543.04, 815.64 and 398.32 is: 598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.04 : 815.64 = 398.32 : x
  2. Step 2: Convert to fraction form
    543.04/815.64 = 398.32/x
  3. Step 3: Cross multiply
    543.04x = 815.64 × 398.32
  4. Step 4: Simplify right side
    543.04x = 324,885.72
  5. Step 5: Solve for x
    x = 324,885.72/543.04
  6. Step 6: Final answer
    x = 598.27

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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.