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Finding the Fourth Proportional to 715.85, 991.70 and 698.84

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Solution

The fourth proportional to 715.85, 991.70 and 698.84 is: 968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.85 : 991.70 = 698.84 : x
  2. Step 2: Convert to fraction form
    715.85/991.70 = 698.84/x
  3. Step 3: Cross multiply
    715.85x = 991.70 × 698.84
  4. Step 4: Simplify right side
    715.85x = 693,039.63
  5. Step 5: Solve for x
    x = 693,039.63/715.85
  6. Step 6: Final answer
    x = 968.14

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1.5x scale

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.