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Finding the Fourth Proportional to 602.57, 830.74 and 478.64

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Solution

The fourth proportional to 602.57, 830.74 and 478.64 is: 659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.57 : 830.74 = 478.64 : x
  2. Step 2: Convert to fraction form
    602.57/830.74 = 478.64/x
  3. Step 3: Cross multiply
    602.57x = 830.74 × 478.64
  4. Step 4: Simplify right side
    602.57x = 397,625.39
  5. Step 5: Solve for x
    x = 397,625.39/602.57
  6. Step 6: Final answer
    x = 659.88

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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.