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Finding the Fourth Proportional to 715.60, 991.36 and 698.59

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Solution

The fourth proportional to 715.60, 991.36 and 698.59 is: 967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.60 : 991.36 = 698.59 : x
  2. Step 2: Convert to fraction form
    715.60/991.36 = 698.59/x
  3. Step 3: Cross multiply
    715.60x = 991.36 × 698.59
  4. Step 4: Simplify right side
    715.60x = 692,549.96
  5. Step 5: Solve for x
    x = 692,549.96/715.60
  6. Step 6: Final answer
    x = 967.79

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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.