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Finding the Fourth Proportional to 798.65, 1,101.56 and 563.14

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Solution

The fourth proportional to 798.65, 1,101.56 and 563.14 is: 776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.65 : 1,101.56 = 563.14 : x
  2. Step 2: Convert to fraction form
    798.65/1,101.56 = 563.14/x
  3. Step 3: Cross multiply
    798.65x = 1,101.56 × 563.14
  4. Step 4: Simplify right side
    798.65x = 620,332.50
  5. Step 5: Solve for x
    x = 620,332.50/798.65
  6. Step 6: Final answer
    x = 776.73

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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.