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Finding the Fourth Proportional to 697.04, 961.98 and 402.37

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Solution

The fourth proportional to 697.04, 961.98 and 402.37 is: 555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.04 : 961.98 = 402.37 : x
  2. Step 2: Convert to fraction form
    697.04/961.98 = 402.37/x
  3. Step 3: Cross multiply
    697.04x = 961.98 × 402.37
  4. Step 4: Simplify right side
    697.04x = 387,071.89
  5. Step 5: Solve for x
    x = 387,071.89/697.04
  6. Step 6: Final answer
    x = 555.31

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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.