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Finding the Fourth Proportional to 906.56, 1,354.24 and 760.80

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Solution

The fourth proportional to 906.56, 1,354.24 and 760.80 is: 1,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.56 : 1,354.24 = 760.80 : x
  2. Step 2: Convert to fraction form
    906.56/1,354.24 = 760.80/x
  3. Step 3: Cross multiply
    906.56x = 1,354.24 × 760.80
  4. Step 4: Simplify right side
    906.56x = 1,030,305.79
  5. Step 5: Solve for x
    x = 1,030,305.79/906.56
  6. Step 6: Final answer
    x = 1,136.50

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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.