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Finding the Fourth Proportional to 745.31, 1,028.53 and 434.81

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Solution

The fourth proportional to 745.31, 1,028.53 and 434.81 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.31 : 1,028.53 = 434.81 : x
  2. Step 2: Convert to fraction form
    745.31/1,028.53 = 434.81/x
  3. Step 3: Cross multiply
    745.31x = 1,028.53 × 434.81
  4. Step 4: Simplify right side
    745.31x = 447,218.24
  5. Step 5: Solve for x
    x = 447,218.24/745.31
  6. Step 6: Final answer
    x = 600.04

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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.