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Finding the Fourth Proportional to 546.93, 819.72 and 400.32

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Solution

The fourth proportional to 546.93, 819.72 and 400.32 is: 599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.93 : 819.72 = 400.32 : x
  2. Step 2: Convert to fraction form
    546.93/819.72 = 400.32/x
  3. Step 3: Cross multiply
    546.93x = 819.72 × 400.32
  4. Step 4: Simplify right side
    546.93x = 328,150.31
  5. Step 5: Solve for x
    x = 328,150.31/546.93
  6. Step 6: Final answer
    x = 599.99

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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.