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Finding the Fourth Proportional to 991.02, 1,485.90 and 683

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Solution

The fourth proportional to 991.02, 1,485.90 and 683 is: 1,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.02 : 1,485.90 = 683 : x
  2. Step 2: Convert to fraction form
    991.02/1,485.90 = 683/x
  3. Step 3: Cross multiply
    991.02x = 1,485.90 × 683
  4. Step 4: Simplify right side
    991.02x = 1,014,869.70
  5. Step 5: Solve for x
    x = 1,014,869.70/991.02
  6. Step 6: Final answer
    x = 1,024.07

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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.