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Finding the Fourth Proportional to 903.50, 1,353.96 and 730.58

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Solution

The fourth proportional to 903.50, 1,353.96 and 730.58 is: 1,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.50 : 1,353.96 = 730.58 : x
  2. Step 2: Convert to fraction form
    903.50/1,353.96 = 730.58/x
  3. Step 3: Cross multiply
    903.50x = 1,353.96 × 730.58
  4. Step 4: Simplify right side
    903.50x = 989,176.10
  5. Step 5: Solve for x
    x = 989,176.10/903.50
  6. Step 6: Final answer
    x = 1,094.83

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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.