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Finding the Fourth Proportional to 602.30, 830.49 and 484.52

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Solution

The fourth proportional to 602.30, 830.49 and 484.52 is: 668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.30 : 830.49 = 484.52 : x
  2. Step 2: Convert to fraction form
    602.30/830.49 = 484.52/x
  3. Step 3: Cross multiply
    602.30x = 830.49 × 484.52
  4. Step 4: Simplify right side
    602.30x = 402,383.05
  5. Step 5: Solve for x
    x = 402,383.05/602.30
  6. Step 6: Final answer
    x = 668.07

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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.