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Finding the Fourth Proportional to 883.05, 1,320.90 and 802.86

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Solution

The fourth proportional to 883.05, 1,320.90 and 802.86 is: 1,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.05 : 1,320.90 = 802.86 : x
  2. Step 2: Convert to fraction form
    883.05/1,320.90 = 802.86/x
  3. Step 3: Cross multiply
    883.05x = 1,320.90 × 802.86
  4. Step 4: Simplify right side
    883.05x = 1,060,497.77
  5. Step 5: Solve for x
    x = 1,060,497.77/883.05
  6. Step 6: Final answer
    x = 1,200.95

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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.