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Finding the Fourth Proportional to 619.76, 928.83 and 400.32

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Solution

The fourth proportional to 619.76, 928.83 and 400.32 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.76 : 928.83 = 400.32 : x
  2. Step 2: Convert to fraction form
    619.76/928.83 = 400.32/x
  3. Step 3: Cross multiply
    619.76x = 928.83 × 400.32
  4. Step 4: Simplify right side
    619.76x = 371,829.23
  5. Step 5: Solve for x
    x = 371,829.23/619.76
  6. Step 6: Final answer
    x = 599.96

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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.