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Finding the Fourth Proportional to 580.78, 802.59 and 440.78

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Solution

The fourth proportional to 580.78, 802.59 and 440.78 is: 609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 802.59 = 440.78 : x
  2. Step 2: Convert to fraction form
    580.78/802.59 = 440.78/x
  3. Step 3: Cross multiply
    580.78x = 802.59 × 440.78
  4. Step 4: Simplify right side
    580.78x = 353,765.62
  5. Step 5: Solve for x
    x = 353,765.62/580.78
  6. Step 6: Final answer
    x = 609.12

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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.