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Finding the Fourth Proportional to 903.45, 1,353.93 and 440.31

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Solution

The fourth proportional to 903.45, 1,353.93 and 440.31 is: 659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.45 : 1,353.93 = 440.31 : x
  2. Step 2: Convert to fraction form
    903.45/1,353.93 = 440.31/x
  3. Step 3: Cross multiply
    903.45x = 1,353.93 × 440.31
  4. Step 4: Simplify right side
    903.45x = 596,148.92
  5. Step 5: Solve for x
    x = 596,148.92/903.45
  6. Step 6: Final answer
    x = 659.86

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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.