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Finding the Fourth Proportional to 885.64, 1,221.54 and 798.28

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Solution

The fourth proportional to 885.64, 1,221.54 and 798.28 is: 1,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.64 : 1,221.54 = 798.28 : x
  2. Step 2: Convert to fraction form
    885.64/1,221.54 = 798.28/x
  3. Step 3: Cross multiply
    885.64x = 1,221.54 × 798.28
  4. Step 4: Simplify right side
    885.64x = 975,130.95
  5. Step 5: Solve for x
    x = 975,130.95/885.64
  6. Step 6: Final answer
    x = 1,101.05

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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.