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Finding the Fourth Proportional to 697.36, 961.86 and 435.28

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Solution

The fourth proportional to 697.36, 961.86 and 435.28 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.36 : 961.86 = 435.28 : x
  2. Step 2: Convert to fraction form
    697.36/961.86 = 435.28/x
  3. Step 3: Cross multiply
    697.36x = 961.86 × 435.28
  4. Step 4: Simplify right side
    697.36x = 418,678.42
  5. Step 5: Solve for x
    x = 418,678.42/697.36
  6. Step 6: Final answer
    x = 600.38

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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.