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Finding the Fourth Proportional to 696.15, 960.84 and 497.30

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Solution

The fourth proportional to 696.15, 960.84 and 497.30 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.15 : 960.84 = 497.30 : x
  2. Step 2: Convert to fraction form
    696.15/960.84 = 497.30/x
  3. Step 3: Cross multiply
    696.15x = 960.84 × 497.30
  4. Step 4: Simplify right side
    696.15x = 477,820.93
  5. Step 5: Solve for x
    x = 477,820.93/696.15
  6. Step 6: Final answer
    x = 686.38

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Half scale
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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.