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Finding the Fourth Proportional to 882.80, 1,320.53 and 802.61

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Solution

The fourth proportional to 882.80, 1,320.53 and 802.61 is: 1,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.80 : 1,320.53 = 802.61 : x
  2. Step 2: Convert to fraction form
    882.80/1,320.53 = 802.61/x
  3. Step 3: Cross multiply
    882.80x = 1,320.53 × 802.61
  4. Step 4: Simplify right side
    882.80x = 1,059,859.97
  5. Step 5: Solve for x
    x = 1,059,859.97/882.80
  6. Step 6: Final answer
    x = 1,200.57

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