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Finding the Fourth Proportional to 906.51, 1,250.99 and 557.13

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Solution

The fourth proportional to 906.51, 1,250.99 and 557.13 is: 768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.51 : 1,250.99 = 557.13 : x
  2. Step 2: Convert to fraction form
    906.51/1,250.99 = 557.13/x
  3. Step 3: Cross multiply
    906.51x = 1,250.99 × 557.13
  4. Step 4: Simplify right side
    906.51x = 696,964.06
  5. Step 5: Solve for x
    x = 696,964.06/906.51
  6. Step 6: Final answer
    x = 768.84

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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.