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Finding the Fourth Proportional to 825.24, 1,134.17 and 802.20

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Solution

The fourth proportional to 825.24, 1,134.17 and 802.20 is: 1,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.24 : 1,134.17 = 802.20 : x
  2. Step 2: Convert to fraction form
    825.24/1,134.17 = 802.20/x
  3. Step 3: Cross multiply
    825.24x = 1,134.17 × 802.20
  4. Step 4: Simplify right side
    825.24x = 909,831.17
  5. Step 5: Solve for x
    x = 909,831.17/825.24
  6. Step 6: Final answer
    x = 1,102.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.