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Finding the Fourth Proportional to 697.22, 962.14 and 402.48

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Solution

The fourth proportional to 697.22, 962.14 and 402.48 is: 555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.22 : 962.14 = 402.48 : x
  2. Step 2: Convert to fraction form
    697.22/962.14 = 402.48/x
  3. Step 3: Cross multiply
    697.22x = 962.14 × 402.48
  4. Step 4: Simplify right side
    697.22x = 387,242.11
  5. Step 5: Solve for x
    x = 387,242.11/697.22
  6. Step 6: Final answer
    x = 555.41

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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.