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Finding the Fourth Proportional to 982.61, 1,355.24 and 717.01

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Solution

The fourth proportional to 982.61, 1,355.24 and 717.01 is: 988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.61 : 1,355.24 = 717.01 : x
  2. Step 2: Convert to fraction form
    982.61/1,355.24 = 717.01/x
  3. Step 3: Cross multiply
    982.61x = 1,355.24 × 717.01
  4. Step 4: Simplify right side
    982.61x = 971,720.63
  5. Step 5: Solve for x
    x = 971,720.63/982.61
  6. Step 6: Final answer
    x = 988.92

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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.