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Finding the Fourth Proportional to 602.77, 832.50 and 405.94

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Solution

The fourth proportional to 602.77, 832.50 and 405.94 is: 560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.77 : 832.50 = 405.94 : x
  2. Step 2: Convert to fraction form
    602.77/832.50 = 405.94/x
  3. Step 3: Cross multiply
    602.77x = 832.50 × 405.94
  4. Step 4: Simplify right side
    602.77x = 337,942.97
  5. Step 5: Solve for x
    x = 337,942.97/602.77
  6. Step 6: Final answer
    x = 560.65

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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.