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Finding the Fourth Proportional to 866.72, 1,293.80 and 802.49

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Solution

The fourth proportional to 866.72, 1,293.80 and 802.49 is: 1,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.72 : 1,293.80 = 802.49 : x
  2. Step 2: Convert to fraction form
    866.72/1,293.80 = 802.49/x
  3. Step 3: Cross multiply
    866.72x = 1,293.80 × 802.49
  4. Step 4: Simplify right side
    866.72x = 1,038,261.56
  5. Step 5: Solve for x
    x = 1,038,261.56/866.72
  6. Step 6: Final answer
    x = 1,197.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.