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Finding the Fourth Proportional to 602.24, 832.92 and 479.12

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Solution

The fourth proportional to 602.24, 832.92 and 479.12 is: 662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.24 : 832.92 = 479.12 : x
  2. Step 2: Convert to fraction form
    602.24/832.92 = 479.12/x
  3. Step 3: Cross multiply
    602.24x = 832.92 × 479.12
  4. Step 4: Simplify right side
    602.24x = 399,068.63
  5. Step 5: Solve for x
    x = 399,068.63/602.24
  6. Step 6: Final answer
    x = 662.64

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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.