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Finding the Fourth Proportional to 857.42, 1,184.46 and 663.44

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Solution

The fourth proportional to 857.42, 1,184.46 and 663.44 is: 916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.42 : 1,184.46 = 663.44 : x
  2. Step 2: Convert to fraction form
    857.42/1,184.46 = 663.44/x
  3. Step 3: Cross multiply
    857.42x = 1,184.46 × 663.44
  4. Step 4: Simplify right side
    857.42x = 785,818.14
  5. Step 5: Solve for x
    x = 785,818.14/857.42
  6. Step 6: Final answer
    x = 916.49

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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.