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Finding the Fourth Proportional to 602.04, 830.18 and 490.20

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Solution

The fourth proportional to 602.04, 830.18 and 490.20 is: 675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 830.18 = 490.20 : x
  2. Step 2: Convert to fraction form
    602.04/830.18 = 490.20/x
  3. Step 3: Cross multiply
    602.04x = 830.18 × 490.20
  4. Step 4: Simplify right side
    602.04x = 406,954.24
  5. Step 5: Solve for x
    x = 406,954.24/602.04
  6. Step 6: Final answer
    x = 675.96

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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.