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Finding the Fourth Proportional to 698.07, 962.74 and 462.03

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Solution

The fourth proportional to 698.07, 962.74 and 462.03 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.07 : 962.74 = 462.03 : x
  2. Step 2: Convert to fraction form
    698.07/962.74 = 462.03/x
  3. Step 3: Cross multiply
    698.07x = 962.74 × 462.03
  4. Step 4: Simplify right side
    698.07x = 444,814.76
  5. Step 5: Solve for x
    x = 444,814.76/698.07
  6. Step 6: Final answer
    x = 637.21

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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.