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Finding the Fourth Proportional to 580.71, 799.64 and 501.89

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Solution

The fourth proportional to 580.71, 799.64 and 501.89 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.71 : 799.64 = 501.89 : x
  2. Step 2: Convert to fraction form
    580.71/799.64 = 501.89/x
  3. Step 3: Cross multiply
    580.71x = 799.64 × 501.89
  4. Step 4: Simplify right side
    580.71x = 401,324.81
  5. Step 5: Solve for x
    x = 401,324.81/580.71
  6. Step 6: Final answer
    x = 691.09

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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.