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Finding the Fourth Proportional to 903.28, 1,346.84 and 902.08

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Solution

The fourth proportional to 903.28, 1,346.84 and 902.08 is: 1,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.28 : 1,346.84 = 902.08 : x
  2. Step 2: Convert to fraction form
    903.28/1,346.84 = 902.08/x
  3. Step 3: Cross multiply
    903.28x = 1,346.84 × 902.08
  4. Step 4: Simplify right side
    903.28x = 1,214,957.43
  5. Step 5: Solve for x
    x = 1,214,957.43/903.28
  6. Step 6: Final answer
    x = 1,345.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.