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Finding the Fourth Proportional to 580.66, 801.36 and 383.83

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Solution

The fourth proportional to 580.66, 801.36 and 383.83 is: 529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.66 : 801.36 = 383.83 : x
  2. Step 2: Convert to fraction form
    580.66/801.36 = 383.83/x
  3. Step 3: Cross multiply
    580.66x = 801.36 × 383.83
  4. Step 4: Simplify right side
    580.66x = 307,584.01
  5. Step 5: Solve for x
    x = 307,584.01/580.66
  6. Step 6: Final answer
    x = 529.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.