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Finding the Fourth Proportional to 802.56, 1,200.96 and 695.64

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Solution

The fourth proportional to 802.56, 1,200.96 and 695.64 is: 1,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.56 : 1,200.96 = 695.64 : x
  2. Step 2: Convert to fraction form
    802.56/1,200.96 = 695.64/x
  3. Step 3: Cross multiply
    802.56x = 1,200.96 × 695.64
  4. Step 4: Simplify right side
    802.56x = 835,435.81
  5. Step 5: Solve for x
    x = 835,435.81/802.56
  6. Step 6: Final answer
    x = 1,040.96

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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.