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Finding the Fourth Proportional to 540.54, 813.56 and 404.32

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Solution

The fourth proportional to 540.54, 813.56 and 404.32 is: 608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.54 : 813.56 = 404.32 : x
  2. Step 2: Convert to fraction form
    540.54/813.56 = 404.32/x
  3. Step 3: Cross multiply
    540.54x = 813.56 × 404.32
  4. Step 4: Simplify right side
    540.54x = 328,938.58
  5. Step 5: Solve for x
    x = 328,938.58/540.54
  6. Step 6: Final answer
    x = 608.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.