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Finding the Fourth Proportional to 906.48, 1,357.74 and 580.14

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Solution

The fourth proportional to 906.48, 1,357.74 and 580.14 is: 868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.48 : 1,357.74 = 580.14 : x
  2. Step 2: Convert to fraction form
    906.48/1,357.74 = 580.14/x
  3. Step 3: Cross multiply
    906.48x = 1,357.74 × 580.14
  4. Step 4: Simplify right side
    906.48x = 787,679.28
  5. Step 5: Solve for x
    x = 787,679.28/906.48
  6. Step 6: Final answer
    x = 868.94

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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.