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Finding the Fourth Proportional to 691.07, 952.74 and 494.24

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Solution

The fourth proportional to 691.07, 952.74 and 494.24 is: 681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.07 : 952.74 = 494.24 : x
  2. Step 2: Convert to fraction form
    691.07/952.74 = 494.24/x
  3. Step 3: Cross multiply
    691.07x = 952.74 × 494.24
  4. Step 4: Simplify right side
    691.07x = 470,882.22
  5. Step 5: Solve for x
    x = 470,882.22/691.07
  6. Step 6: Final answer
    x = 681.38

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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.