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Finding the Fourth Proportional to 903.70, 1,357.37 and 878.18

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Solution

The fourth proportional to 903.70, 1,357.37 and 878.18 is: 1,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.70 : 1,357.37 = 878.18 : x
  2. Step 2: Convert to fraction form
    903.70/1,357.37 = 878.18/x
  3. Step 3: Cross multiply
    903.70x = 1,357.37 × 878.18
  4. Step 4: Simplify right side
    903.70x = 1,192,015.19
  5. Step 5: Solve for x
    x = 1,192,015.19/903.70
  6. Step 6: Final answer
    x = 1,319.04

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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.