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Finding the Fourth Proportional to 580.49, 802.12 and 431.72

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Solution

The fourth proportional to 580.49, 802.12 and 431.72 is: 596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.49 : 802.12 = 431.72 : x
  2. Step 2: Convert to fraction form
    580.49/802.12 = 431.72/x
  3. Step 3: Cross multiply
    580.49x = 802.12 × 431.72
  4. Step 4: Simplify right side
    580.49x = 346,290.68
  5. Step 5: Solve for x
    x = 346,290.68/580.49
  6. Step 6: Final answer
    x = 596.54

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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.