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Finding the Fourth Proportional to 580.05, 801.72 and 513.18

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Solution

The fourth proportional to 580.05, 801.72 and 513.18 is: 709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 801.72 = 513.18 : x
  2. Step 2: Convert to fraction form
    580.05/801.72 = 513.18/x
  3. Step 3: Cross multiply
    580.05x = 801.72 × 513.18
  4. Step 4: Simplify right side
    580.05x = 411,424.10
  5. Step 5: Solve for x
    x = 411,424.10/580.05
  6. Step 6: Final answer
    x = 709.30

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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.