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Finding the Fourth Proportional to 905.20, 1,357.96 and 288.72

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Solution

The fourth proportional to 905.20, 1,357.96 and 288.72 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.20 : 1,357.96 = 288.72 : x
  2. Step 2: Convert to fraction form
    905.20/1,357.96 = 288.72/x
  3. Step 3: Cross multiply
    905.20x = 1,357.96 × 288.72
  4. Step 4: Simplify right side
    905.20x = 392,070.21
  5. Step 5: Solve for x
    x = 392,070.21/905.20
  6. Step 6: Final answer
    x = 433.13

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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.