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Finding the Fourth Proportional to 580.78, 801.43 and 332.09

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Solution

The fourth proportional to 580.78, 801.43 and 332.09 is: 458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 801.43 = 332.09 : x
  2. Step 2: Convert to fraction form
    580.78/801.43 = 332.09/x
  3. Step 3: Cross multiply
    580.78x = 801.43 × 332.09
  4. Step 4: Simplify right side
    580.78x = 266,145.06
  5. Step 5: Solve for x
    x = 266,145.06/580.78
  6. Step 6: Final answer
    x = 458.25

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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.