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Finding the Fourth Proportional to 697.37, 961.74 and 461.52

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Solution

The fourth proportional to 697.37, 961.74 and 461.52 is: 636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.37 : 961.74 = 461.52 : x
  2. Step 2: Convert to fraction form
    697.37/961.74 = 461.52/x
  3. Step 3: Cross multiply
    697.37x = 961.74 × 461.52
  4. Step 4: Simplify right side
    697.37x = 443,862.24
  5. Step 5: Solve for x
    x = 443,862.24/697.37
  6. Step 6: Final answer
    x = 636.48

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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.