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Finding the Fourth Proportional to 901.45, 1,350.94 and 438.31

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Solution

The fourth proportional to 901.45, 1,350.94 and 438.31 is: 656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.45 : 1,350.94 = 438.31 : x
  2. Step 2: Convert to fraction form
    901.45/1,350.94 = 438.31/x
  3. Step 3: Cross multiply
    901.45x = 1,350.94 × 438.31
  4. Step 4: Simplify right side
    901.45x = 592,130.51
  5. Step 5: Solve for x
    x = 592,130.51/901.45
  6. Step 6: Final answer
    x = 656.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.