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Finding the Fourth Proportional to 1,100.22, 1,518.30 and 602.86

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Solution

The fourth proportional to 1,100.22, 1,518.30 and 602.86 is: 831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.22 : 1,518.30 = 602.86 : x
  2. Step 2: Convert to fraction form
    1,100.22/1,518.30 = 602.86/x
  3. Step 3: Cross multiply
    1,100.22x = 1,518.30 × 602.86
  4. Step 4: Simplify right side
    1,100.22x = 915,322.12
  5. Step 5: Solve for x
    x = 915,322.12/1,100.22
  6. Step 6: Final answer
    x = 831.94

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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.