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Finding the Fourth Proportional to 906.77, 1,250.63 and 574.87

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Solution

The fourth proportional to 906.77, 1,250.63 and 574.87 is: 792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.77 : 1,250.63 = 574.87 : x
  2. Step 2: Convert to fraction form
    906.77/1,250.63 = 574.87/x
  3. Step 3: Cross multiply
    906.77x = 1,250.63 × 574.87
  4. Step 4: Simplify right side
    906.77x = 718,949.67
  5. Step 5: Solve for x
    x = 718,949.67/906.77
  6. Step 6: Final answer
    x = 792.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.