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Finding the Fourth Proportional to 750.45, 1,035.74 and 455.81

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Solution

The fourth proportional to 750.45, 1,035.74 and 455.81 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.45 : 1,035.74 = 455.81 : x
  2. Step 2: Convert to fraction form
    750.45/1,035.74 = 455.81/x
  3. Step 3: Cross multiply
    750.45x = 1,035.74 × 455.81
  4. Step 4: Simplify right side
    750.45x = 472,093.19
  5. Step 5: Solve for x
    x = 472,093.19/750.45
  6. Step 6: Final answer
    x = 629.08

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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.