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Finding the Fourth Proportional to 903.04, 1,354.65 and 325.78

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Solution

The fourth proportional to 903.04, 1,354.65 and 325.78 is: 488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.04 : 1,354.65 = 325.78 : x
  2. Step 2: Convert to fraction form
    903.04/1,354.65 = 325.78/x
  3. Step 3: Cross multiply
    903.04x = 1,354.65 × 325.78
  4. Step 4: Simplify right side
    903.04x = 441,313.27
  5. Step 5: Solve for x
    x = 441,313.27/903.04
  6. Step 6: Final answer
    x = 488.70

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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.