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Finding the Fourth Proportional to 602.49, 830.75 and 491.63

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Solution

The fourth proportional to 602.49, 830.75 and 491.63 is: 677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.49 : 830.75 = 491.63 : x
  2. Step 2: Convert to fraction form
    602.49/830.75 = 491.63/x
  3. Step 3: Cross multiply
    602.49x = 830.75 × 491.63
  4. Step 4: Simplify right side
    602.49x = 408,415.01
  5. Step 5: Solve for x
    x = 408,415.01/602.49
  6. Step 6: Final answer
    x = 677.88

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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.