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Finding the Fourth Proportional to 798.53, 1,104.30 and 700.11

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Solution

The fourth proportional to 798.53, 1,104.30 and 700.11 is: 968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.53 : 1,104.30 = 700.11 : x
  2. Step 2: Convert to fraction form
    798.53/1,104.30 = 700.11/x
  3. Step 3: Cross multiply
    798.53x = 1,104.30 × 700.11
  4. Step 4: Simplify right side
    798.53x = 773,131.47
  5. Step 5: Solve for x
    x = 773,131.47/798.53
  6. Step 6: Final answer
    x = 968.20

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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.