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Finding the Fourth Proportional to 602.10, 830.19 and 419.73

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Solution

The fourth proportional to 602.10, 830.19 and 419.73 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.10 : 830.19 = 419.73 : x
  2. Step 2: Convert to fraction form
    602.10/830.19 = 419.73/x
  3. Step 3: Cross multiply
    602.10x = 830.19 × 419.73
  4. Step 4: Simplify right side
    602.10x = 348,455.65
  5. Step 5: Solve for x
    x = 348,455.65/602.10
  6. Step 6: Final answer
    x = 578.73

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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.