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Finding the Fourth Proportional to 991.34, 1,367.77 and 598.08

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Solution

The fourth proportional to 991.34, 1,367.77 and 598.08 is: 825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.34 : 1,367.77 = 598.08 : x
  2. Step 2: Convert to fraction form
    991.34/1,367.77 = 598.08/x
  3. Step 3: Cross multiply
    991.34x = 1,367.77 × 598.08
  4. Step 4: Simplify right side
    991.34x = 818,032.89
  5. Step 5: Solve for x
    x = 818,032.89/991.34
  6. Step 6: Final answer
    x = 825.18

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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.