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Finding the Fourth Proportional to 580.90, 802 and 403.80

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Solution

The fourth proportional to 580.90, 802 and 403.80 is: 557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.90 : 802 = 403.80 : x
  2. Step 2: Convert to fraction form
    580.90/802 = 403.80/x
  3. Step 3: Cross multiply
    580.90x = 802 × 403.80
  4. Step 4: Simplify right side
    580.90x = 323,847.60
  5. Step 5: Solve for x
    x = 323,847.60/580.90
  6. Step 6: Final answer
    x = 557.49

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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.