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Finding the Fourth Proportional to 802.27, 1,202.19 and 595.87

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Solution

The fourth proportional to 802.27, 1,202.19 and 595.87 is: 892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.27 : 1,202.19 = 595.87 : x
  2. Step 2: Convert to fraction form
    802.27/1,202.19 = 595.87/x
  3. Step 3: Cross multiply
    802.27x = 1,202.19 × 595.87
  4. Step 4: Simplify right side
    802.27x = 716,348.96
  5. Step 5: Solve for x
    x = 716,348.96/802.27
  6. Step 6: Final answer
    x = 892.90

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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.