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Finding the Fourth Proportional to 802.31, 1,202.85 and 580.05

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Solution

The fourth proportional to 802.31, 1,202.85 and 580.05 is: 869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.31 : 1,202.85 = 580.05 : x
  2. Step 2: Convert to fraction form
    802.31/1,202.85 = 580.05/x
  3. Step 3: Cross multiply
    802.31x = 1,202.85 × 580.05
  4. Step 4: Simplify right side
    802.31x = 697,713.14
  5. Step 5: Solve for x
    x = 697,713.14/802.31
  6. Step 6: Final answer
    x = 869.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.