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Finding the Fourth Proportional to 602.17, 830.91 and 336.55

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Solution

The fourth proportional to 602.17, 830.91 and 336.55 is: 464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.17 : 830.91 = 336.55 : x
  2. Step 2: Convert to fraction form
    602.17/830.91 = 336.55/x
  3. Step 3: Cross multiply
    602.17x = 830.91 × 336.55
  4. Step 4: Simplify right side
    602.17x = 279,642.76
  5. Step 5: Solve for x
    x = 279,642.76/602.17
  6. Step 6: Final answer
    x = 464.39

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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.