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Finding the Fourth Proportional to 798.56, 1,101.64 and 518.80

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Solution

The fourth proportional to 798.56, 1,101.64 and 518.80 is: 715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.56 : 1,101.64 = 518.80 : x
  2. Step 2: Convert to fraction form
    798.56/1,101.64 = 518.80/x
  3. Step 3: Cross multiply
    798.56x = 1,101.64 × 518.80
  4. Step 4: Simplify right side
    798.56x = 571,530.83
  5. Step 5: Solve for x
    x = 571,530.83/798.56
  6. Step 6: Final answer
    x = 715.70

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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.