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Finding the Fourth Proportional to 580.83, 802.26 and 434.12

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Solution

The fourth proportional to 580.83, 802.26 and 434.12 is: 599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.83 : 802.26 = 434.12 : x
  2. Step 2: Convert to fraction form
    580.83/802.26 = 434.12/x
  3. Step 3: Cross multiply
    580.83x = 802.26 × 434.12
  4. Step 4: Simplify right side
    580.83x = 348,278.83
  5. Step 5: Solve for x
    x = 348,278.83/580.83
  6. Step 6: Final answer
    x = 599.62

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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.