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Finding the Fourth Proportional to 798.77, 1,103.86 and 649.10

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Solution

The fourth proportional to 798.77, 1,103.86 and 649.10 is: 897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.77 : 1,103.86 = 649.10 : x
  2. Step 2: Convert to fraction form
    798.77/1,103.86 = 649.10/x
  3. Step 3: Cross multiply
    798.77x = 1,103.86 × 649.10
  4. Step 4: Simplify right side
    798.77x = 716,519.10
  5. Step 5: Solve for x
    x = 716,519.10/798.77
  6. Step 6: Final answer
    x = 897.03

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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.