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Finding the Fourth Proportional to 912.06, 1,257.93 and 557.69

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Solution

The fourth proportional to 912.06, 1,257.93 and 557.69 is: 769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.06 : 1,257.93 = 557.69 : x
  2. Step 2: Convert to fraction form
    912.06/1,257.93 = 557.69/x
  3. Step 3: Cross multiply
    912.06x = 1,257.93 × 557.69
  4. Step 4: Simplify right side
    912.06x = 701,528.69
  5. Step 5: Solve for x
    x = 701,528.69/912.06
  6. Step 6: Final answer
    x = 769.17

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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.