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Finding the Fourth Proportional to 736.96, 1,017.02 and 405.42

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Solution

The fourth proportional to 736.96, 1,017.02 and 405.42 is: 559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.96 : 1,017.02 = 405.42 : x
  2. Step 2: Convert to fraction form
    736.96/1,017.02 = 405.42/x
  3. Step 3: Cross multiply
    736.96x = 1,017.02 × 405.42
  4. Step 4: Simplify right side
    736.96x = 412,317.17
  5. Step 5: Solve for x
    x = 412,317.17/736.96
  6. Step 6: Final answer
    x = 559.48

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1.5x scale

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.