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Finding the Fourth Proportional to 991.15, 1,367.82 and 598.10

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Solution

The fourth proportional to 991.15, 1,367.82 and 598.10 is: 825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.15 : 1,367.82 = 598.10 : x
  2. Step 2: Convert to fraction form
    991.15/1,367.82 = 598.10/x
  3. Step 3: Cross multiply
    991.15x = 1,367.82 × 598.10
  4. Step 4: Simplify right side
    991.15x = 818,086.30
  5. Step 5: Solve for x
    x = 818,086.30/991.15
  6. Step 6: Final answer
    x = 825.39

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Double scale
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1.5x scale

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.