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Finding the Fourth Proportional to 736.66, 1,017 and 442

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Solution

The fourth proportional to 736.66, 1,017 and 442 is: 610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.66 : 1,017 = 442 : x
  2. Step 2: Convert to fraction form
    736.66/1,017 = 442/x
  3. Step 3: Cross multiply
    736.66x = 1,017 × 442
  4. Step 4: Simplify right side
    736.66x = 449,514
  5. Step 5: Solve for x
    x = 449,514/736.66
  6. Step 6: Final answer
    x = 610.21

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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.