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Finding the Fourth Proportional to 802.44, 1,109.70 and 787.86

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Solution

The fourth proportional to 802.44, 1,109.70 and 787.86 is: 1,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.44 : 1,109.70 = 787.86 : x
  2. Step 2: Convert to fraction form
    802.44/1,109.70 = 787.86/x
  3. Step 3: Cross multiply
    802.44x = 1,109.70 × 787.86
  4. Step 4: Simplify right side
    802.44x = 874,288.24
  5. Step 5: Solve for x
    x = 874,288.24/802.44
  6. Step 6: Final answer
    x = 1,089.54

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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.