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Finding the Fourth Proportional to 580.85, 801.64 and 332.13

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Solution

The fourth proportional to 580.85, 801.64 and 332.13 is: 458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.85 : 801.64 = 332.13 : x
  2. Step 2: Convert to fraction form
    580.85/801.64 = 332.13/x
  3. Step 3: Cross multiply
    580.85x = 801.64 × 332.13
  4. Step 4: Simplify right side
    580.85x = 266,247.03
  5. Step 5: Solve for x
    x = 266,247.03/580.85
  6. Step 6: Final answer
    x = 458.38

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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.