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Finding the Fourth Proportional to 402.84, 607.77 and 382.59

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Solution

The fourth proportional to 402.84, 607.77 and 382.59 is: 577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 607.77 = 382.59 : x
  2. Step 2: Convert to fraction form
    402.84/607.77 = 382.59/x
  3. Step 3: Cross multiply
    402.84x = 607.77 × 382.59
  4. Step 4: Simplify right side
    402.84x = 232,526.72
  5. Step 5: Solve for x
    x = 232,526.72/402.84
  6. Step 6: Final answer
    x = 577.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.