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Finding the Fourth Proportional to 991.49, 1,486.24 and 552.94

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Solution

The fourth proportional to 991.49, 1,486.24 and 552.94 is: 828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.49 : 1,486.24 = 552.94 : x
  2. Step 2: Convert to fraction form
    991.49/1,486.24 = 552.94/x
  3. Step 3: Cross multiply
    991.49x = 1,486.24 × 552.94
  4. Step 4: Simplify right side
    991.49x = 821,794.11
  5. Step 5: Solve for x
    x = 821,794.11/991.49
  6. Step 6: Final answer
    x = 828.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.