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Finding the Fourth Proportional to 696.94, 962.12 and 539.21

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Solution

The fourth proportional to 696.94, 962.12 and 539.21 is: 744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 962.12 = 539.21 : x
  2. Step 2: Convert to fraction form
    696.94/962.12 = 539.21/x
  3. Step 3: Cross multiply
    696.94x = 962.12 × 539.21
  4. Step 4: Simplify right side
    696.94x = 518,788.48
  5. Step 5: Solve for x
    x = 518,788.48/696.94
  6. Step 6: Final answer
    x = 744.38

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Double scale
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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.