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Finding the Fourth Proportional to 736.32, 1,015.92 and 456.42

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Solution

The fourth proportional to 736.32, 1,015.92 and 456.42 is: 629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.32 : 1,015.92 = 456.42 : x
  2. Step 2: Convert to fraction form
    736.32/1,015.92 = 456.42/x
  3. Step 3: Cross multiply
    736.32x = 1,015.92 × 456.42
  4. Step 4: Simplify right side
    736.32x = 463,686.21
  5. Step 5: Solve for x
    x = 463,686.21/736.32
  6. Step 6: Final answer
    x = 629.73

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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.