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Finding the Fourth Proportional to 588.94, 887.84 and 549.31

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Solution

The fourth proportional to 588.94, 887.84 and 549.31 is: 828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 887.84 = 549.31 : x
  2. Step 2: Convert to fraction form
    588.94/887.84 = 549.31/x
  3. Step 3: Cross multiply
    588.94x = 887.84 × 549.31
  4. Step 4: Simplify right side
    588.94x = 487,699.39
  5. Step 5: Solve for x
    x = 487,699.39/588.94
  6. Step 6: Final answer
    x = 828.10

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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.