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Finding the Fourth Proportional to 698.40, 968.40 and 655.20

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Solution

The fourth proportional to 698.40, 968.40 and 655.20 is: 908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.40 : 968.40 = 655.20 : x
  2. Step 2: Convert to fraction form
    698.40/968.40 = 655.20/x
  3. Step 3: Cross multiply
    698.40x = 968.40 × 655.20
  4. Step 4: Simplify right side
    698.40x = 634,495.68
  5. Step 5: Solve for x
    x = 634,495.68/698.40
  6. Step 6: Final answer
    x = 908.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.