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Finding the Fourth Proportional to 696.54, 960.84 and 497.37

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Solution

The fourth proportional to 696.54, 960.84 and 497.37 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.54 : 960.84 = 497.37 : x
  2. Step 2: Convert to fraction form
    696.54/960.84 = 497.37/x
  3. Step 3: Cross multiply
    696.54x = 960.84 × 497.37
  4. Step 4: Simplify right side
    696.54x = 477,892.99
  5. Step 5: Solve for x
    x = 477,892.99/696.54
  6. Step 6: Final answer
    x = 686.10

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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.