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Finding the Fourth Proportional to 982, 1,355.40 and 568.24

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Solution

The fourth proportional to 982, 1,355.40 and 568.24 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982 : 1,355.40 = 568.24 : x
  2. Step 2: Convert to fraction form
    982/1,355.40 = 568.24/x
  3. Step 3: Cross multiply
    982x = 1,355.40 × 568.24
  4. Step 4: Simplify right side
    982x = 770,192.50
  5. Step 5: Solve for x
    x = 770,192.50/982
  6. Step 6: Final answer
    x = 784.31

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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.