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Finding the Fourth Proportional to 802.96, 1,204.52 and 413.20

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Solution

The fourth proportional to 802.96, 1,204.52 and 413.20 is: 619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.96 : 1,204.52 = 413.20 : x
  2. Step 2: Convert to fraction form
    802.96/1,204.52 = 413.20/x
  3. Step 3: Cross multiply
    802.96x = 1,204.52 × 413.20
  4. Step 4: Simplify right side
    802.96x = 497,709.43
  5. Step 5: Solve for x
    x = 497,709.43/802.96
  6. Step 6: Final answer
    x = 619.84

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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.