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Finding the Fourth Proportional to 736.95, 1,017.00 and 405.39

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Solution

The fourth proportional to 736.95, 1,017.00 and 405.39 is: 559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.95 : 1,017.00 = 405.39 : x
  2. Step 2: Convert to fraction form
    736.95/1,017.00 = 405.39/x
  3. Step 3: Cross multiply
    736.95x = 1,017.00 × 405.39
  4. Step 4: Simplify right side
    736.95x = 412,275.53
  5. Step 5: Solve for x
    x = 412,275.53/736.95
  6. Step 6: Final answer
    x = 559.43

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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.