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Finding the Fourth Proportional to 798.68, 1,102.50 and 484.28

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Solution

The fourth proportional to 798.68, 1,102.50 and 484.28 is: 668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.68 : 1,102.50 = 484.28 : x
  2. Step 2: Convert to fraction form
    798.68/1,102.50 = 484.28/x
  3. Step 3: Cross multiply
    798.68x = 1,102.50 × 484.28
  4. Step 4: Simplify right side
    798.68x = 533,918.70
  5. Step 5: Solve for x
    x = 533,918.70/798.68
  6. Step 6: Final answer
    x = 668.50

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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.