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Finding the Fourth Proportional to 602.68, 832 and 416.24

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Solution

The fourth proportional to 602.68, 832 and 416.24 is: 574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.68 : 832 = 416.24 : x
  2. Step 2: Convert to fraction form
    602.68/832 = 416.24/x
  3. Step 3: Cross multiply
    602.68x = 832 × 416.24
  4. Step 4: Simplify right side
    602.68x = 346,311.68
  5. Step 5: Solve for x
    x = 346,311.68/602.68
  6. Step 6: Final answer
    x = 574.62

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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.