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Finding the Fourth Proportional to 991.37, 1,368.63 and 677.10

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Solution

The fourth proportional to 991.37, 1,368.63 and 677.10 is: 934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.37 : 1,368.63 = 677.10 : x
  2. Step 2: Convert to fraction form
    991.37/1,368.63 = 677.10/x
  3. Step 3: Cross multiply
    991.37x = 1,368.63 × 677.10
  4. Step 4: Simplify right side
    991.37x = 926,699.37
  5. Step 5: Solve for x
    x = 926,699.37/991.37
  6. Step 6: Final answer
    x = 934.77

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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.