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Finding the Fourth Proportional to 697.12, 961.94 and 402.40

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Solution

The fourth proportional to 697.12, 961.94 and 402.40 is: 555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.12 : 961.94 = 402.40 : x
  2. Step 2: Convert to fraction form
    697.12/961.94 = 402.40/x
  3. Step 3: Cross multiply
    697.12x = 961.94 × 402.40
  4. Step 4: Simplify right side
    697.12x = 387,084.66
  5. Step 5: Solve for x
    x = 387,084.66/697.12
  6. Step 6: Final answer
    x = 555.26

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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.