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Finding the Fourth Proportional to 1,215.76, 1,678.44 and 802.96

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Solution

The fourth proportional to 1,215.76, 1,678.44 and 802.96 is: 1,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.76 : 1,678.44 = 802.96 : x
  2. Step 2: Convert to fraction form
    1,215.76/1,678.44 = 802.96/x
  3. Step 3: Cross multiply
    1,215.76x = 1,678.44 × 802.96
  4. Step 4: Simplify right side
    1,215.76x = 1,347,720.18
  5. Step 5: Solve for x
    x = 1,347,720.18/1,215.76
  6. Step 6: Final answer
    x = 1,108.54

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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.