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Finding the Fourth Proportional to 630.02, 869.14 and 408.98

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Solution

The fourth proportional to 630.02, 869.14 and 408.98 is: 564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.02 : 869.14 = 408.98 : x
  2. Step 2: Convert to fraction form
    630.02/869.14 = 408.98/x
  3. Step 3: Cross multiply
    630.02x = 869.14 × 408.98
  4. Step 4: Simplify right side
    630.02x = 355,460.88
  5. Step 5: Solve for x
    x = 355,460.88/630.02
  6. Step 6: Final answer
    x = 564.21

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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.