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Finding the Fourth Proportional to 802.16, 1,105.26 and 539.72

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Solution

The fourth proportional to 802.16, 1,105.26 and 539.72 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.16 : 1,105.26 = 539.72 : x
  2. Step 2: Convert to fraction form
    802.16/1,105.26 = 539.72/x
  3. Step 3: Cross multiply
    802.16x = 1,105.26 × 539.72
  4. Step 4: Simplify right side
    802.16x = 596,522.70
  5. Step 5: Solve for x
    x = 596,522.70/802.16
  6. Step 6: Final answer
    x = 743.65

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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.