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Finding the Fourth Proportional to 721.50, 992.88 and 697.74

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Solution

The fourth proportional to 721.50, 992.88 and 697.74 is: 960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.50 : 992.88 = 697.74 : x
  2. Step 2: Convert to fraction form
    721.50/992.88 = 697.74/x
  3. Step 3: Cross multiply
    721.50x = 992.88 × 697.74
  4. Step 4: Simplify right side
    721.50x = 692,772.09
  5. Step 5: Solve for x
    x = 692,772.09/721.50
  6. Step 6: Final answer
    x = 960.18

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1.5x scale

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.