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Finding the Fourth Proportional to 697.08, 961.20 and 434.64

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Solution

The fourth proportional to 697.08, 961.20 and 434.64 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 961.20 = 434.64 : x
  2. Step 2: Convert to fraction form
    697.08/961.20 = 434.64/x
  3. Step 3: Cross multiply
    697.08x = 961.20 × 434.64
  4. Step 4: Simplify right side
    697.08x = 417,775.97
  5. Step 5: Solve for x
    x = 417,775.97/697.08
  6. Step 6: Final answer
    x = 599.32

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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.